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232072464121 = 311215492
BaseRepresentation
bin1101100000100010011…
…0001100011011111001
3211012000112021200011221
43120020212030123321
512300241022322441
6254340154152041
722523654253211
oct3301046143371
9735015250157
10232072464121
118a46a9461a3
1238b88722621
1318b65b808b4
14b337889241
156083ec68d1
hex360898c6f9

232072464121 has 9 divisors (see below), whose sum is σ = 232971478383. Its totient is φ = 231176911320.

The previous prime is 232072464103. The next prime is 232072464133. The reversal of 232072464121 is 121464270232.

The square root of 232072464121 is 481739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78518204521 + 153554259600 = 280211^2 + 391860^2 .

It is not a de Polignac number, because 232072464121 - 27 = 232072463993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232072464101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149820055 + ... + 149821603.

Almost surely, 2232072464121 is an apocalyptic number.

232072464121 is the 481739-th square number.

232072464121 is the 240870-th centered octagonal number.

It is an amenable number.

232072464121 is a deficient number, since it is larger than the sum of its proper divisors (899014262).

232072464121 is an frugal number, since it uses more digits than its factorization.

232072464121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 232072464121 in words is "two hundred thirty-two billion, seventy-two million, four hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 311 1549 96721 481739 2399401 149820829 746213711 232072464121