202 (two hundred
ndtwo) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
201 and preceding
203.
In mathematics
202 is a
Smith number, meaning that its
digit sum
In mathematics, the digit sum of a natural number in a given radix, number base is the sum of all its numerical digit, 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. ...
and the sum of digits of its
prime factor
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s are equal. It is also a
strobogrammatic number, meaning that when shown on a
seven-segment display
A seven-segment display is a display device for Arabic numerals, less complex than a device that can show more characters such as dot matrix displays. Seven-segment displays are widely used in digital clocks, electronic meters, basic calculators, ...
, 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 2, two as the Base (exponentiation), base and integer as the exponent. In the fast-growing hierarchy, is exactly equal to f_1^ ...
) into smaller powers of two. There are also 202 distinct (non-congruent)
polygon
In geometry, a polygon () is a plane figure made up of line segments connected to form a closed polygonal chain.
The segments of a closed polygonal chain are called its '' edges'' or ''sides''. The points where two edges meet are the polygon ...
s that can be formed by connecting all eight
vertices of a
regular octagon into a cycle, and 202 distinct (non-isomorphic)
directed graphs on four unlabeled
vertices, not having any
isolated vertices.
See also
*
HTTP status code 202 meaning the request was accepted but has not yet been fulfilled
References
Integers
{{Num-stub