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230164860025 = 5222924192
BaseRepresentation
bin1101011001011011100…
…1010000110001111001
3211000002120210100022101
43112112321100301321
512232334201010100
6253423011423401
722425462013222
oct3262671206171
9730076710271
10230164860025
1189681076a91
12387358b4b61
13189208b6b89
14b1d63a2249
155ec17b586a
hex3596e50c79

230164860025 has 27 divisors (see below), whose sum is σ = 287341952781. Its totient is φ = 182890282080.

The previous prime is 230164859959. The next prime is 230164860059. The reversal of 230164860025 is 520068461032.

The square root of 230164860025 is 479755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31412954169 + 198751905856 = 177237^2 + 445816^2 .

It is not a de Polignac number, because 230164860025 - 221 = 230162762873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 549319266 + ... + 549319684.

Almost surely, 2230164860025 is an apocalyptic number.

230164860025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230164860025 is the 479755-th square number.

230164860025 is the 239878-th centered octagonal number.

It is an amenable number.

230164860025 is a deficient number, since it is larger than the sum of its proper divisors (57177092756).

230164860025 is an frugal number, since it uses more digits than its factorization.

230164860025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 230164860025 in words is "two hundred thirty billion, one hundred sixty-four million, eight hundred sixty thousand, twenty-five".

Divisors: 1 5 25 229 419 1145 2095 5725 10475 52441 95951 175561 262205 479755 877805 1311025 2398775 4389025 21972779 40203469 109863895 201017345 549319475 1005086725 9206594401 46032972005 230164860025