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3182652225 = 325237612
BaseRepresentation
bin1011110110110011…
…0110101101000001
322012210201111002100
42331230312231001
523004224332400
61243451141013
7141604045314
oct27554665501
98183644070
103182652225
1113935847a5
12749a44769
133b94a668c
1422299097b
15139623100
hexbdb36b41

3182652225 has 27 divisors (see below), whose sum is σ = 5701999849. Its totient is φ = 1696963200.

The previous prime is 3182652203. The next prime is 3182652233. The reversal of 3182652225 is 5222562813.

It is a happy number.

The square root of 3182652225 is 56415.

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

3182652225 is a `hidden beast` number, since 31 + 82 + 6 + 522 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121022001 + 3061630224 = 11001^2 + 55332^2 .

It is not a de Polignac number, because 3182652225 - 29 = 3182651713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3182652225.

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, 844345 + ... + 848105.

Almost surely, 23182652225 is an apocalyptic number.

3182652225 is the 56415-th square number.

3182652225 is the 28208-th centered octagonal number.

It is an amenable number.

3182652225 is a deficient number, since it is larger than the sum of its proper divisors (2519347624).

3182652225 is an frugal number, since it uses more digits than its factorization.

3182652225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 3769 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The cubic root of 3182652225 is about 1470.9448666493.

Multiplying 3182652225 by its sum of digits (36), we get a square (114575480100 = 3384902).

Multiplying 3182652225 by its product of digits (57600), we get a square (183320768160000 = 135396002).

The spelling of 3182652225 in words is "three billion, one hundred eighty-two million, six hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3761 11283 18805 33849 56415 94025 169245 282075 846225 14145121 42435363 70725605 127306089 212176815 353628025 636530445 1060884075 3182652225