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252918225 = 32527160583
BaseRepresentation
bin11110001001100…
…11100111010001
3122121220120120200
433010303213101
51004221340400
641032525413
76160524630
oct1704634721
9577816520
10252918225
1111a84722a
1270850869
1340524a71
1425839517
151730db00
hexf1339d1

252918225 has 36 divisors (see below), whose sum is σ = 517722816. Its totient is φ = 115619040.

The previous prime is 252918223. The next prime is 252918247. The reversal of 252918225 is 522819252.

It is not a de Polignac number, because 252918225 - 21 = 252918223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252918225.

It is not an unprimeable number, because it can be changed into a prime (252918223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78717 + ... + 81866.

Almost surely, 2252918225 is an apocalyptic number.

252918225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252918225 is an abundant number, since it is smaller than the sum of its proper divisors (264804591).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252918225 is a wasteful number, since it uses less digits than its factorization.

252918225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160606 (or 160598 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 252918225 is about 15903.4029377363. The cubic root of 252918225 is about 632.4022043594.

The spelling of 252918225 in words is "two hundred fifty-two million, nine hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 160583 481749 802915 1124081 1445247 2408745 3372243 4014575 5620405 7226235 10116729 12043725 16861215 28102025 36131175 50583645 84306075 252918225