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225297160 = 23511246549
BaseRepresentation
bin11010110110111…
…00001100001000
3120200221021121021
431123130030020
5430134002120
634204522224
75403665014
oct1533341410
9520837537
10225297160
111061a1100
1263550374
13378a383a
1421cc9544
1514ba4aaa
hexd6dc308

225297160 has 48 divisors (see below), whose sum is σ = 557203500. Its totient is φ = 81924480.

The previous prime is 225297157. The next prime is 225297187. The reversal of 225297160 is 61792522.

It can be written as a sum of positive squares in 2 ways, for example, as 212751396 + 12545764 = 14586^2 + 3542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18435 + ... + 28114.

Almost surely, 2225297160 is an apocalyptic number.

225297160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225297160 is an abundant number, since it is smaller than the sum of its proper divisors (331906340).

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

225297160 is a wasteful number, since it uses less digits than its factorization.

225297160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46582 (or 46567 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 225297160 is about 15009.9020649703. The cubic root of 225297160 is about 608.4878428239.

The spelling of 225297160 in words is "two hundred twenty-five million, two hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46549 93098 186196 232745 372392 465490 512039 930980 1024078 1861960 2048156 2560195 4096312 5120390 5632429 10240780 11264858 20481560 22529716 28162145 45059432 56324290 112648580 225297160