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22656132 = 22331961181
BaseRepresentation
bin101011001101…
…1010010000100
31120122001101000
41112123102010
521244444012
62125333300
7363400602
oct126332204
946561330
1022656132
1111874984
127707230
1349033c5
14301a872
151ec7ddc
hex159b484

22656132 has 96 divisors (see below), whose sum is σ = 63190400. Its totient is φ = 6998400.

The previous prime is 22656119. The next prime is 22656143. The reversal of 22656132 is 23165622.

22656132 is a `hidden beast` number, since 2 + 2 + 656 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22656096 and 22656105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125082 + ... + 125262.

Almost surely, 222656132 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 22656132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595200).

22656132 is an abundant number, since it is smaller than the sum of its proper divisors (40534268).

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

22656132 is a wasteful number, since it uses less digits than its factorization.

22656132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 22656132 is about 4759.8457958215. The cubic root of 22656132 is about 282.9623077404.

The spelling of 22656132 in words is "twenty-two million, six hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 108 114 122 171 181 183 228 244 342 362 366 513 543 549 684 724 732 1026 1086 1098 1159 1629 1647 2052 2172 2196 2318 3258 3294 3439 3477 4636 4887 6516 6588 6878 6954 9774 10317 10431 11041 13756 13908 19548 20634 20862 22082 30951 31293 33123 41268 41724 44164 61902 62586 66246 92853 99369 123804 125172 132492 185706 198738 209779 298107 371412 397476 419558 596214 629337 839116 1192428 1258674 1888011 2517348 3776022 5664033 7552044 11328066 22656132