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22687164 = 22322931701
BaseRepresentation
bin101011010001…
…0110110111100
31120200121221100
41112202312330
521301442124
62130133100
7363560223
oct126426674
946617840
1022687164
1111896225
127721190
134914576
143027cba
151ed21c9
hex15a2dbc

22687164 has 72 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 7056000.

The previous prime is 22687157. The next prime is 22687199. The reversal of 22687164 is 46178622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32014 + ... + 32714.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 222687164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22687164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

22687164 is an abundant number, since it is smaller than the sum of its proper divisors (38639556).

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

22687164 is a wasteful number, since it uses less digits than its factorization.

22687164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22687164 is about 4763.1044498310. The cubic root of 22687164 is about 283.0914395260.

The spelling of 22687164 in words is "twenty-two million, six hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 701 899 1044 1116 1402 1798 2103 2697 2804 3596 4206 5394 6309 8091 8412 10788 12618 16182 20329 21731 25236 32364 40658 43462 60987 65193 81316 86924 121974 130386 182961 195579 243948 260772 365922 391158 630199 731844 782316 1260398 1890597 2520796 3781194 5671791 7562388 11343582 22687164