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232212223112112 = 24334113110446201
BaseRepresentation
bin110100110011001000011111…
…000100100011001110110000
31010110012021100002101210011000
4310303020133010203032300
5220414031113104041422
62141512453403322000
766624531235140345
oct6463103704431660
91113167302353130
10232212223112112
1167a98718206431
122206434b820300
139c75698703279
14414b1bb03a7cc
151bca58d40ccac
hexd3321f1233b0

232212223112112 has 80 divisors (see below), whose sum is σ = 682792038200160. Its totient is φ = 75516170112000.

The previous prime is 232212223112057. The next prime is 232212223112113. The reversal of 232212223112112 is 211211322212232.

232212223112112 is a `hidden beast` number, since 2 + 3 + 2 + 212 + 2 + 231 + 1 + 211 + 2 = 666.

It is a super-2 number, since 2×2322122231121122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232212223112113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6555205389 + ... + 6555240812.

It is an arithmetic number, because the mean of its divisors is an integer number (8534900477502).

Almost surely, 2232212223112112 is an apocalyptic number.

It is an amenable number.

232212223112112 is an abundant number, since it is smaller than the sum of its proper divisors (450579815088048).

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

232212223112112 is a wasteful number, since it uses less digits than its factorization.

232212223112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13110446259 (or 13110446247 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 232212223112112 its reverse (211211322212232), we get a palindrome (443423545324344).

The spelling of 232212223112112 in words is "two hundred thirty-two trillion, two hundred twelve billion, two hundred twenty-three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 13110446201 26220892402 39331338603 52441784804 78662677206 104883569608 117994015809 157325354412 209767139216 235988031618 314650708824 353982047427 471976063236 537528294241 629301417648 707964094854 943952126472 1075056588482 1415928189708 1612584882723 1887904252944 2150113176964 2831856379416 3225169765446 4300226353928 4837754648169 5663712758832 6450339530892 8600452707856 9675509296338 12900679061784 14513263944507 19351018592676 25801358123568 29026527889014 38702037185352 58053055778028 77404074370704 116106111556056 232212223112112