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22564704 = 2531989139
BaseRepresentation
bin101011000010…
…0111101100000
31120110101221210
41112010331200
521234032304
62123350120
7362540211
oct126047540
946411853
1022564704
1111812218
127682340
1348a08c6
142dd5408
151eaac89
hex1584f60

22564704 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6994944.

The previous prime is 22564699. The next prime is 22564741. The reversal of 22564704 is 40746522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 162267 + ... + 162405.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 222564704 is an apocalyptic number.

22564704 is a gapful number since it is divisible by the number (24) 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 22564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

22564704 is an abundant number, since it is smaller than the sum of its proper divisors (40939296).

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

22564704 is a wasteful number, since it uses less digits than its factorization.

22564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 22564704 is about 4750.2319943346. The cubic root of 22564704 is about 282.5811665382.

The spelling of 22564704 in words is "twenty-two million, five hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 139 152 178 228 267 278 304 356 417 456 534 556 608 712 834 912 1068 1112 1424 1668 1691 1824 2136 2224 2641 2848 3336 3382 4272 4448 5073 5282 6672 6764 7923 8544 10146 10564 12371 13344 13528 15846 20292 21128 24742 27056 31692 37113 40584 42256 49484 54112 63384 74226 81168 84512 98968 126768 148452 162336 197936 235049 253536 296904 395872 470098 593808 705147 940196 1187616 1410294 1880392 2820588 3760784 5641176 7521568 11282352 22564704