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232230112272 = 243219433719571
BaseRepresentation
bin1101100001000111111…
…1100100110000010000
3211012102111221000210100
43120101333210300100
512301101402043042
6254403545132400
722530610245624
oct3302177446020
9735374830710
10232230112272
118a540931624
123901148a100
1318b8c729a22
14b3507a5184
156092c6724c
hex3611fe4c10

232230112272 has 120 divisors (see below), whose sum is σ = 684320888160. Its totient is φ = 73315169280.

The previous prime is 232230112271. The next prime is 232230112273. The reversal of 232230112272 is 272211032232.

232230112272 is a `hidden beast` number, since 2 + 322 + 301 + 12 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (232230112271) and next prime (232230112273).

It is not an unprimeable number, because it can be changed into a prime (232230112271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11856247 + ... + 11875817.

It is an arithmetic number, because the mean of its divisors is an integer number (5702674068).

Almost surely, 2232230112272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232230112272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342160444080).

232230112272 is an abundant number, since it is smaller than the sum of its proper divisors (452090775888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232230112272 is a wasteful number, since it uses less digits than its factorization.

232230112272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 232230112272 in words is "two hundred thirty-two billion, two hundred thirty million, one hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4337 8674 13011 17348 19571 26022 34696 39033 39142 52044 58713 69392 78066 78284 82403 104088 117426 156132 156568 164806 176139 208176 234852 247209 312264 313136 329612 352278 371849 469704 494418 624528 659224 704556 741627 743698 939408 988836 1115547 1318448 1409112 1483254 1487396 1977672 2231094 2818224 2966508 2974792 3346641 3955344 4462188 5933016 5949584 6693282 8924376 11866032 13386564 17848752 26773128 53546256 84879427 169758854 254638281 339517708 509276562 679035416 763914843 1018553124 1358070832 1527829686 1612709113 2037106248 3055659372 3225418226 4074212496 4838127339 6111318744 6450836452 9676254678 12222637488 12901672904 14514382017 19352509356 25803345808 29028764034 38705018712 58057528068 77410037424 116115056136 232230112272