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72225231 = 31317412657
BaseRepresentation
bin1000100111000…
…01000111001111
312000220102101120
410103201013033
5121442201411
611100012023
71534622121
oct423410717
9160812346
1072225231
1137850981
1220231013
1311c6a630
149841211
15651a106
hex44e11cf

72225231 has 32 divisors (see below), whose sum is σ = 112529088. Its totient is φ = 40796160.

The previous prime is 72225211. The next prime is 72225239. The reversal of 72225231 is 13252227.

It is a happy number.

It is not a de Polignac number, because 72225231 - 214 = 72208847 is a prime.

It is a super-2 number, since 2×722252312 = 10432967986006722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225239) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25855 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (3516534).

Almost surely, 272225231 is an apocalyptic number.

72225231 is a deficient number, since it is larger than the sum of its proper divisors (40303857).

72225231 is a wasteful number, since it uses less digits than its factorization.

72225231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731.

The product of its digits is 1680, while the sum is 24.

The square root of 72225231 is about 8498.5428751051. The cubic root of 72225231 is about 416.4501087637.

Adding to 72225231 its reverse (13252227), we get a palindrome (85477458).

The spelling of 72225231 in words is "seventy-two million, two hundred twenty-five thousand, two hundred thirty-one".

Divisors: 1 3 13 17 39 41 51 123 221 533 663 697 1599 2091 2657 7971 9061 27183 34541 45169 103623 108937 135507 326811 587197 1416181 1761591 1851929 4248543 5555787 24075077 72225231