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382260225 = 35231164413
BaseRepresentation
bin10110110010001…
…101010000000001
3222122021211110010
4112302031100001
51240324311400
6101533055133
712321105204
oct2662152001
9878254403
10382260225
11186859846
12a80274a9
136126cba9
1438aa793b
152385c450
hex16c8d401

382260225 has 24 divisors (see below), whose sum is σ = 652394752. Its totient is φ = 197294400.

The previous prime is 382260211. The next prime is 382260247. The reversal of 382260225 is 522062283.

It is not a de Polignac number, because 382260225 - 210 = 382259201 is a prime.

It is a super-2 number, since 2×3822602252 = 292245759234101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382260192 and 382260201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79882 + ... + 84531.

Almost surely, 2382260225 is an apocalyptic number.

It is an amenable number.

382260225 is a deficient number, since it is larger than the sum of its proper divisors (270134527).

382260225 is a wasteful number, since it uses less digits than its factorization.

382260225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164457 (or 164452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 382260225 is about 19551.4762869713. The cubic root of 382260225 is about 725.7488734460.

The spelling of 382260225 in words is "three hundred eighty-two million, two hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 465 775 2325 164413 493239 822065 2466195 4110325 5096803 12330975 15290409 25484015 76452045 127420075 382260225