232

`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 = 44 − 4!, it follows that there are exactly 232 different functions from a set of four elements to a proper subset of the same set.