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232213303312232 = 231121132122918373
BaseRepresentation
bin110100110011001001011111…
…011101001011111101101000
31010110012101010100222122010212
4310303021133131023331220
5220414040321121442412
62141513152512000252
766624600062530004
oct6463113735137550
91113171110878125
10232213303312232
1167a99121a27800
12220645b1530088
139c7580b440938
14414b2806a3704
151bca603182222
hexd3325f74bf68

232213303312232 has 48 divisors (see below), whose sum is σ = 482815325798820. Its totient is φ = 104617417372160.

The previous prime is 232213303312231. The next prime is 232213303312267.

232213303312232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 210493844660836 + 21719458651396 = 14508406^2 + 4660414^2 .

It is not an unprimeable number, because it can be changed into a prime (232213303312231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061349803 + ... + 1061568570.

Almost surely, 2232213303312232 is an apocalyptic number.

232213303312232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232213303312232 is an abundant number, since it is smaller than the sum of its proper divisors (250602022486588).

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

232213303312232 is a wasteful number, since it uses less digits than its factorization.

232213303312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122918514 (or 2122918499 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 23221330 and 3312232, that added together give a palindrome (26533562).

The spelling of 232213303312232 in words is "two hundred thirty-two trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 904 968 1243 2486 4972 9944 13673 27346 54692 109384 2122918373 4245836746 8491673492 16983346984 23352102103 46704204206 93408408412 186816816824 239889776149 256873123133 479779552298 513746246266 959559104596 1027492492532 1919118209192 2054984985064 2638787537639 5277575075278 10555150150556 21110300301112 29026662914029 58053325828058 116106651656116 232213303312232