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72286227 = 32131736343
BaseRepresentation
bin1000100111100…
…00000000010011
312001000112001200
410103300000103
5122001124402
611101202243
71535265006
oct423600023
9161015050
1072286227
1137892792
1220260383
1311c8c320
14985953d
15652d21c
hex44f0013

72286227 has 24 divisors (see below), whose sum is σ = 119062944. Its totient is φ = 41865984.

The previous prime is 72286219. The next prime is 72286229. The reversal of 72286227 is 72268227.

72286227 is a `hidden beast` number, since 7 + 2 + 28 + 622 + 7 = 666.

It is not a de Polignac number, because 72286227 - 23 = 72286219 is a prime.

It is a super-2 number, since 2×722862272 = 10450597227791058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72286191 and 72286200.

It is not an unprimeable number, because it can be changed into a prime (72286229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16183 + ... + 20160.

It is an arithmetic number, because the mean of its divisors is an integer number (4960956).

Almost surely, 272286227 is an apocalyptic number.

72286227 is a deficient number, since it is larger than the sum of its proper divisors (46776717).

72286227 is a wasteful number, since it uses less digits than its factorization.

72286227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36379 (or 36376 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 72286227 is about 8502.1307329398. The cubic root of 72286227 is about 416.5673099274.

The spelling of 72286227 in words is "seventy-two million, two hundred eighty-six thousand, two hundred twenty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 36343 109029 327087 472459 617831 1417377 1853493 4252131 5560479 8031803 24095409 72286227