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212009598025 = 5217254172
BaseRepresentation
bin1100010101110011000…
…0011011110001001001
3202021020022110110212021
43011130300123301021
511433143424114100
6241221301244441
721213536564221
oct3053460336111
9667208413767
10212009598025
1181a04988a25
1235109703721
1316cb94645b4
14a3930bb081
1557ac98da1a
hex315cc1bc49

212009598025 has 27 divisors (see below), whose sum is σ = 279317354719. Its totient is φ = 159601287680.

The previous prime is 212009598019. The next prime is 212009598071. The reversal of 212009598025 is 520895900212.

The square root of 212009598025 is 460445.

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

It can be written as a sum of positive squares in 13 ways, for example, as 173091777849 + 38917820176 = 416043^2 + 197276^2 .

It is not a de Polignac number, because 212009598025 - 25 = 212009597993 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, 39135117 + ... + 39140533.

Almost surely, 2212009598025 is an apocalyptic number.

212009598025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212009598025 is the 460445-th square number.

212009598025 is the 230223-rd centered octagonal number.

It is an amenable number.

212009598025 is a deficient number, since it is larger than the sum of its proper divisors (67307756694).

212009598025 is an frugal number, since it uses more digits than its factorization.

212009598025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10878 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 212009598025 in words is "two hundred twelve billion, nine million, five hundred ninety-eight thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5417 7225 27085 92089 135425 460445 1565513 2302225 7827565 29343889 39137825 146719445 498846113 733597225 2494230565 8480383921 12471152825 42401919605 212009598025