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232214553512001 = 3317505914059939
BaseRepresentation
bin110100110011001010101001…
…111110010100100001000001
31010110012111100111110100211000
4310303022221332110201001
5220414100401144341001
62141513520532042213
766624643053204204
oct6463125176244101
91113174314410730
10232214553512001
1167a99703700355
12220648a0163369
139c7597a460408
14414b35c73d93b
151bca677cd6a86
hexd332a9f94841

232214553512001 has 16 divisors (see below), whose sum is σ = 364258123156800. Its totient is φ = 145703249262144.

The previous prime is 232214553511987. The next prime is 232214553512017. The reversal of 232214553512001 is 100215355412232.

232214553512001 is a `hidden beast` number, since 2 + 3 + 22 + 14 + 553 + 51 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 232214553512001 - 26 = 232214553511937 is a prime.

It is a super-3 number, since 3×2322145535120013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232214553512021) 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, 252957029511 + ... + 252957030428.

It is an arithmetic number, because the mean of its divisors is an integer number (22766132697300).

Almost surely, 2232214553512001 is an apocalyptic number.

It is an amenable number.

232214553512001 is a deficient number, since it is larger than the sum of its proper divisors (132043569644799).

232214553512001 is a wasteful number, since it uses less digits than its factorization.

232214553512001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505914059965 (or 505914059959 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 232214553512001 in words is "two hundred thirty-two trillion, two hundred fourteen billion, five hundred fifty-three million, five hundred twelve thousand, one".

Divisors: 1 3 9 17 27 51 153 459 505914059939 1517742179817 4553226539451 8600539018963 13659679618353 25801617056889 77404851170667 232214553512001