202 (number)
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202 (two hundred ndtwo) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...
following
201 Year 201 ( CCI) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Fabianus and Arrius (or, less frequently, year 954 ''Ab urbe condit ...
and preceding 203.


In mathematics

202 is a
Smith number In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-f ...
, meaning that its
digit sum In mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number 9045 would be 9 + 0 + 4 + 5 = 18. Definition Let n be a natural number. We define the digit ...
and the sum of digits of its prime factors are equal. It is also a strobogrammatic number, meaning that when shown on a
seven-segment display A seven-segment display is a form of electronic display device for displaying decimal numerals that is an alternative to the more complex dot matrix displays. Seven-segment displays are widely used in digital clocks, electronic meters, basic ...
, turning the display upside-down shows the same number. There are exactly 202 partitions of 32 (a
power of two A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer  as the exponent. In a context where only integers are considered, is restricted to non-negativ ...
) into smaller powers of two. There are also 202 distinct (non-congruent)
polygon In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two to ...
s that can be formed by connecting all eight vertices of a
regular octagon In geometry, an octagon (from the Greek ὀκτάγωνον ''oktágōnon'', "eight angles") is an eight-sided polygon or 8-gon. A '' regular octagon'' has Schläfli symbol and can also be constructed as a quasiregular truncated square, t, whi ...
into a cycle, and 202 distinct (non-isomorphic)
directed graph In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs. Definition In formal terms, a directed graph is an ordered pa ...
s on four unlabeled vertices, not having any isolated vertices.


See also

*
Area code 202 Image:Area code 202.svg, 350px, The red area is the District of Columbia, served by area code 202. poly 0 50 49 54 103 84 111 88 101 107 118 130 143 139 179 140 211 188 238 203 260 240 259 248 248 250 255 262 253 357 1 357 Area codes 571 and 7 ...
, the area code assigned to Washington D.C. * HTTP status code 202 meaning the request was accepted but has not yet been fulfilled * List of highways numbered 202 * The
Peugeot 202 The Peugeot 202 is a supermini developed and designed by the French car manufacturer Peugeot. Production of the car ran between 1938 and 1942 and then, after a brief production run of 20 in early 1945, restarted in mid-1946. It was sold until 1949 ...
automobile *
Potassium sorbate Potassium sorbate is the potassium salt of sorbic acid, chemical formula CH3CH=CH−CH=CH−CO2K. It is a white salt that is very soluble in water (58.2% at 20 °C). It is primarily used as a food preservative (E number 202). Potassium so ...
, a preservative whose E number is 202


References

{{DEFAULTSORT:202 (Number) Integers