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232215054114231 = 321711396713889737
BaseRepresentation
bin110100110011001011000111…
…110011111101110110110111
31010110012112122101102120222100
4310303023013303331312313
5220414102412323123411
62141514042333433143
766624661342230006
oct6463130763756667
91113175571376870
10232215054114231
1167a99940239201
12220649bb93b7b3
139c75a2a096656
14414b3a9010c3d
151bca6a6c1d456
hexd332c7cfddb7

232215054114231 has 48 divisors (see below), whose sum is σ = 358665926059584. Its totient is φ = 144264798461952.

The previous prime is 232215054114187. The next prime is 232215054114247. The reversal of 232215054114231 is 132411450512232.

232215054114231 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 1 + 5 + 0 + 5 + 411 + 4 + 231 = 666.

It is not a de Polignac number, because 232215054114231 - 29 = 232215054113719 is a prime.

It is a super-2 number, since 2×2322150541142312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232215054114431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9773595 + ... + 23663331.

It is an arithmetic number, because the mean of its divisors is an integer number (7472206792908).

Almost surely, 2232215054114231 is an apocalyptic number.

232215054114231 is a deficient number, since it is larger than the sum of its proper divisors (126450871945353).

232215054114231 is a wasteful number, since it uses less digits than its factorization.

232215054114231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890840 (or 13890837 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 232215054114231 in words is "two hundred thirty-two trillion, two hundred fifteen billion, fifty-four million, one hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 9 17 51 113 153 339 967 1017 1921 2901 5763 8703 16439 17289 49317 109271 147951 327813 983439 1857607 5572821 13889737 16718463 41669211 125007633 236125529 708376587 1569540281 2125129761 4708620843 13431375679 14125862529 26682184777 40294127037 80046554331 120882381111 228333386543 240139662993 685000159629 1517745451727 2055000478887 4553236355181 13659709065543 25801672679359 77405018038077 232215054114231