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3631870225 = 521727092
BaseRepresentation
bin1101100001111001…
…1111000100010001
3100101010000010100001
43120132133010101
524414224321400
61400215330001
7156000246634
oct33036370421
910333003301
103631870225
1115a4106945
12854380901
1345b58b449
142664c7c1b
15163ca9a6a
hexd879f111

3631870225 has 27 divisors (see below), whose sum is σ = 4790772147. Its totient is φ = 2730727680.

The previous prime is 3631870219. The next prime is 3631870237. The reversal of 3631870225 is 5220781363.

The square root of 3631870225 is 60265.

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

3631870225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2711597329 + 920272896 = 52073^2 + 30336^2 .

It is not a de Polignac number, because 3631870225 - 221 = 3629773073 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, 5122171 + ... + 5122879.

Almost surely, 23631870225 is an apocalyptic number.

3631870225 is the 60265-th square number.

3631870225 is the 30133-rd centered octagonal number.

It is an amenable number.

3631870225 is a deficient number, since it is larger than the sum of its proper divisors (1158901922).

3631870225 is an frugal number, since it uses more digits than its factorization.

3631870225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 3631870225 is about 1537.1282605361.

The spelling of 3631870225 in words is "three billion, six hundred thirty-one million, eight hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 709 1445 3545 7225 12053 17725 60265 204901 301325 502681 1024505 2513405 5122525 8545577 12567025 42727885 145274809 213639425 726374045 3631870225