232 (number)
# 232 (number)

232 (two hundred [and] thirty-two) is the natural number 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.

232 is a telephone number: 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 232 = $4^4$ − 4!, it follows that there are exactly 232 different functions from a set of four elements to a proper subset of the same set.

