232 (number)
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232 (two hundred ndthirty-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 231 and preceding 233.


In mathematics

232 is both a central polygonal number and a cake number. It is both a decagonal number and a centered 11-gonal number. It is also a refactorable number, a Motzkin sum, an idoneal number, a Riordan number and a
noncototient In number theory, a noncototient is a positive integer that cannot be expressed as the difference between a positive integer and the number of coprime integers below it. That is, , where stands for Euler's totient function In number theory ...
. 232 is a
telephone number A telephone number is the address of a Telecommunications, telecommunication endpoint, such as a telephone, in a telephone network, such as the public switched telephone network (PSTN). A telephone number typically consists of a Number, sequ ...
: in a system of seven telephone users, there are 232 different ways of pairing up some of the users. There are also exactly 232 different eight-vertex connected indifference graphs, and 232 bracelets with eight beads of one color and seven of another. Because this number has the form , it follows that there are exactly 232 different functions from a set of four elements to a proper subset of the same set.


References

Integers {{Num-stub