242 (number)
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242 (two hundred ndforty-two) 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 241 and preceding 243. 242 is the smallest integer to start a run of four consecutive integers with the same number of divisors. 242 is a
nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotie ...
since there is no integer with 242
coprime In number theory, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equiv ...
s below it. 242 is a
palindrome A palindrome (Help:IPA/English, /ˈpæl.ɪn.droʊm/) is a word, palindromic number, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as ''madam'' or ''racecar'', the date "Twosday, 02/02/2020" and th ...
. 242 is the number of parallelogram polyominoes with 8 cells. 242 is the difference between 355 and
113 113 may refer to: *113 (number), a natural number *AD 113, a year *113 BC, a year *113 (band), a French hip hop group *113 (MBTA bus), Massachusetts Bay Transportation Authority bus route *113 (New Jersey bus), Ironbound Garage in Newark and run to ...
, two numbers used in an
approximation An approximation is anything that is intentionally similar but not exactly equal to something else. Etymology and usage The word ''approximation'' is derived from Latin ''approximatus'', from ''proximus'' meaning ''very near'' and the prefix ...
of pi, \frac = 3.14159292035 \ldots (This fraction is slightly larger than \pi, by a factor of around 0.000000266764\dots) 242 is the sum of elements in a
5-orthoplex In five-dimensional geometry, a 5-orthoplex, or 5- cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regula ...
: 32 polychora, 80 cells, 80 faces, 40 edges, and 10 vertices.


References

Integers {{num-stub