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231664129225 = 52962632
BaseRepresentation
bin1101011111000001000…
…0100001010011001001
3211010222001221010000021
43113300100201103021
512243422004113400
6254231450140441
722510565415364
oct3276020412311
9733861833007
10231664129225
118a2803a8141
1238a93a21721
1318acc3b1609
14b2d95550db
15605d21871a
hex35f04214c9

231664129225 has 9 divisors (see below), whose sum is σ = 287266504423. Its totient is φ = 185329378120.

The previous prime is 231664129219. The next prime is 231664129253. The reversal of 231664129225 is 522921466132.

The square root of 231664129225 is 481315.

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., 83399086521 + 148265042704 = 288789^2 + 385052^2 .

It is a de Polignac number, because none of the positive numbers 2k-231664129225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2358444 + ... + 2454706.

Almost surely, 2231664129225 is an apocalyptic number.

231664129225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

231664129225 is the 481315-th square number.

231664129225 is the 240658-th centered octagonal number.

It is an amenable number.

231664129225 is a deficient number, since it is larger than the sum of its proper divisors (55602375198).

231664129225 is an frugal number, since it uses more digits than its factorization.

231664129225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192536 (or 96268 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The spelling of 231664129225 in words is "two hundred thirty-one billion, six hundred sixty-four million, one hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 96263 481315 2406575 9266565169 46332825845 231664129225