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232213121232 = 243291579105649
BaseRepresentation
bin1101100001000011111…
…0110000100011010000
3211012101022221210110120
43120100332300203100
512301033024334412
6254402141030240
722530312651231
oct3302076604320
9735338853416
10232213121232
118a532286a44
1239007855380
1318b8905b061
14b34c421088
15609150cb8c
hex3610fb08d0

232213121232 has 80 divisors (see below), whose sum is σ = 620968440000. Its totient is φ = 74687219712.

The previous prime is 232213121207. The next prime is 232213121233. The reversal of 232213121232 is 232121312232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213121233) 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, 2145144 + ... + 2250792.

It is an arithmetic number, because the mean of its divisors is an integer number (7762105500).

Almost surely, 2232213121232 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 232213121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310484220000).

232213121232 is an abundant number, since it is smaller than the sum of its proper divisors (388755318768).

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

232213121232 is a wasteful number, since it uses less digits than its factorization.

232213121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107268 (or 107262 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 232213121232 its reverse (232121312232), we get a palindrome (464334433464).

The spelling of 232213121232 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1579 3158 4737 6316 9474 12632 18948 25264 37896 45791 75792 91582 105649 137373 183164 211298 274746 316947 366328 422596 549492 633894 732656 845192 1098984 1267788 1690384 2197968 2535576 3063821 5071152 6127642 9191463 12255284 18382926 24510568 36765852 49021136 73531704 147063408 166819771 333639542 500459313 667279084 1000918626 1334558168 2001837252 2669116336 4003674504 4837773359 8007349008 9675546718 14513320077 19351093436 29026640154 38702186872 58053280308 77404373744 116106560616 232213121232