Search a number
-
+
232203131222112 = 25327431085142493
BaseRepresentation
bin110100110011000000000001…
…001001101111100001100000
31010110011101212110101220202100
4310303000001021233201200
5220413404003043101422
62141504351300450400
766624060025302411
oct6463000111574140
91113141773356670
10232203131222112
1167a94882062956
12220626329a9a00
139c74879bbb9bb
14414a997745808
151bca20a12e7ac
hexd3300126f860

232203131222112 has 72 divisors (see below), whose sum is σ = 661216386723984. Its totient is φ = 77296869990144.

The previous prime is 232203131222077. The next prime is 232203131222147. The reversal of 232203131222112 is 211222131302232.

232203131222112 is a `hidden beast` number, since 2 + 3 + 220 + 313 + 12 + 2 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (232203131222077) and next prime (232203131222147).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542357263 + ... + 542785230.

It is an arithmetic number, because the mean of its divisors is an integer number (9183560926722).

Almost surely, 2232203131222112 is an apocalyptic number.

It is an amenable number.

232203131222112 is an abundant number, since it is smaller than the sum of its proper divisors (429013255501872).

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

232203131222112 is a wasteful number, since it uses less digits than its factorization.

232203131222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085143252 (or 1085143241 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 232203131222112 its reverse (211222131302232), we get a palindrome (443425262524344).

The spelling of 232203131222112 in words is "two hundred thirty-two trillion, two hundred three billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 53496 71328 106992 213984 1085142493 2170284986 3255427479 4340569972 6510854958 8681139944 9766282437 13021709916 17362279888 19532564874 26043419832 34724559776 39065129748 52086839664 78130259496 104173679328 156260518992 312521037984 806260872299 1612521744598 2418782616897 3225043489196 4837565233794 6450086978392 7256347850691 9675130467588 12900173956784 14512695701382 19350260935176 25800347913568 29025391402764 38700521870352 58050782805528 77401043740704 116101565611056 232203131222112