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216257551225 = 5217254712
BaseRepresentation
bin1100100101100111110…
…1000101101101111001
3202200012100201212011021
43021121331011231321
512020343413114400
6243203005502441
721424030566352
oct3113175055571
9680170655137
10216257551225
1183794828051
1235ab4271a21
131751555cb81
14a677336d29
15595a89171a
hex3259f45b79

216257551225 has 27 divisors (see below), whose sum is σ = 284913407821. Its totient is φ = 162799452800.

The previous prime is 216257551217. The next prime is 216257551249. The reversal of 216257551225 is 522155752612.

It is a happy number.

The square root of 216257551225 is 465035.

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 5058481129 + 211199070096 = 71123^2 + 459564^2 .

It is not a de Polignac number, because 216257551225 - 23 = 216257551217 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, 39525240 + ... + 39530710.

Almost surely, 2216257551225 is an apocalyptic number.

216257551225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216257551225 is the 465035-th square number.

216257551225 is the 232518-th centered octagonal number.

It is an amenable number.

216257551225 is a deficient number, since it is larger than the sum of its proper divisors (68655856596).

216257551225 is an frugal number, since it uses more digits than its factorization.

216257551225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986 (or 5493 counting only the distinct ones).

The product of its digits is 420000, while the sum is 43.

The spelling of 216257551225 in words is "two hundred sixteen billion, two hundred fifty-seven million, five hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5471 7225 27355 93007 136775 465035 1581119 2325175 7905595 29931841 39527975 149659205 508841297 748296025 2544206485 8650302049 12721032425 43251510245 216257551225