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22570968 = 23372171129
BaseRepresentation
bin101011000011…
…0011111011000
31120110201112210
41112012133120
521234232333
62123435120
7362564400
oct126063730
946421483
1022570968
11118169a2
127685aa0
1348a3704
142dd7800
151eaca63
hex15867d8

22570968 has 96 divisors (see below), whose sum is σ = 69562800. Its totient is φ = 6064128.

The previous prime is 22570963. The next prime is 22570973. The reversal of 22570968 is 86907522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22570963) and next prime (22570973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22570963) 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 23 ways as a sum of consecutive naturals, for example, 19428 + ... + 20556.

Almost surely, 222570968 is an apocalyptic number.

22570968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22570968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34781400).

22570968 is an abundant number, since it is smaller than the sum of its proper divisors (46991832).

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

22570968 is a wasteful number, since it uses less digits than its factorization.

22570968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 22570968 is about 4750.8912848012. The cubic root of 22570968 is about 282.6073124556.

The spelling of 22570968 in words is "twenty-two million, five hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1129 1176 1428 1666 2258 2499 2856 3332 3387 4516 4998 6664 6774 7903 9032 9996 13548 15806 19193 19992 23709 27096 31612 38386 47418 55321 57579 63224 76772 94836 110642 115158 134351 153544 165963 189672 221284 230316 268702 331926 403053 442568 460632 537404 663852 806106 940457 1074808 1327704 1612212 1880914 2821371 3224424 3761828 5642742 7523656 11285484 22570968