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22528264 = 2311217372
BaseRepresentation
bin101010111110…
…0000100001000
31120101112222011
41111330010020
521231401024
62122505304
7362326033
oct125740410
946345864
1022528264
1111797900
127665234
13488a145
142dc601a
151ea0094
hex157c108

22528264 has 72 divisors (see below), whose sum is σ = 50525370. Its totient is φ = 9377280.

The previous prime is 22528249. The next prime is 22528271. The reversal of 22528264 is 46282522.

It can be written as a sum of positive squares in 3 ways, for example, as 21548164 + 980100 = 4642^2 + 990^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 608854 + ... + 608890.

Almost surely, 222528264 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 22528264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25262685).

22528264 is an abundant number, since it is smaller than the sum of its proper divisors (27997106).

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

22528264 is a wasteful number, since it uses less digits than its factorization.

22528264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 22528264 is about 4746.3948424041. The cubic root of 22528264 is about 282.4289700556.

The spelling of 22528264 in words is "twenty-two million, five hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 37 44 68 74 88 121 136 148 187 242 296 374 407 484 629 748 814 968 1258 1369 1496 1628 2057 2516 2738 3256 4114 4477 5032 5476 6919 8228 8954 10952 13838 15059 16456 17908 23273 27676 30118 35816 46546 55352 60236 76109 93092 120472 152218 165649 186184 256003 304436 331298 512006 608872 662596 1024012 1325192 2048024 2816033 5632066 11264132 22528264