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232212545212232 = 231310939409519793
BaseRepresentation
bin110100110011001000110010…
…010001010000111101001000
31010110012022011112111011110002
4310303020302101100331020
5220414032243033242412
62141512545351142132
766624542226013634
oct6463106221207510
91113168145434402
10232212545212232
1167a98873004a82
122206441b674948
139c7571a36b360
14414b20bb23dc4
151bca5ab834dc2
hexd33232450f48

232212545212232 has 64 divisors (see below), whose sum is σ = 473205383574000. Its totient is φ = 106188864897024.

The previous prime is 232212545212187. The next prime is 232212545212237.

232212545212232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 27982893892996 + 204229651319236 = 5289886^2 + 14290894^2 .

It is not an unprimeable number, because it can be changed into a prime (232212545212237) 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, 446480528 + ... + 447000320.

Almost surely, 2232212545212232 is an apocalyptic number.

It is an amenable number.

232212545212232 is an abundant number, since it is smaller than the sum of its proper divisors (240992838361768).

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

232212545212232 is a wasteful number, since it uses less digits than its factorization.

232212545212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559330 (or 559326 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The spelling of 232212545212232 in words is "two hundred thirty-two trillion, two hundred twelve billion, five hundred forty-five million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 11336 39409 78818 157636 315272 512317 519793 1024634 1039586 2049268 2079172 4098536 4158344 4295581 6757309 8591162 13514618 17182324 27029236 34364648 54058472 55842553 56657437 111685106 113314874 223370212 226629748 446740424 453259496 736546681 1473093362 2946186724 5892373448 20484522337 40969044674 81938089348 163876178696 266298790381 532597580762 1065195161524 2130390323048 2232812934733 4465625869466 8931251738932 17862503477864 29026568151529 58053136303058 116106272606116 232212545212232