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22894564 = 2273113741
BaseRepresentation
bin101011101010…
…1011111100100
31121002011102211
41113111133210
521330111224
62134413204
7365413000
oct127253744
947064384
1022894564
1111a18030
127801204
134987aa4
14307d700
152023894
hex15d57e4

22894564 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 8467200.

The previous prime is 22894559. The next prime is 22894567. The reversal of 22894564 is 46549822.

It is a super-2 number, since 2×228945642 = 1048322121500192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22894567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558384 + ... + 558424.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 222894564 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 22894564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

22894564 is an abundant number, since it is smaller than the sum of its proper divisors (30731036).

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

22894564 is a wasteful number, since it uses less digits than its factorization.

22894564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 22894564 is about 4784.8264336337. The cubic root of 22894564 is about 283.9514728962.

The spelling of 22894564 in words is "twenty-two million, eight hundred ninety-four thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 49 74 77 82 98 148 154 164 196 259 287 308 343 407 451 518 539 574 686 814 902 1036 1078 1148 1372 1517 1628 1804 1813 2009 2156 2849 3034 3157 3626 3773 4018 5698 6068 6314 7252 7546 8036 10619 11396 12628 12691 14063 15092 16687 19943 21238 22099 25382 28126 33374 39886 42476 44198 50764 56252 66748 74333 79772 88396 116809 139601 148666 154693 233618 279202 297332 309386 467236 520331 558404 618772 817663 1040662 1635326 2081324 3270652 5723641 11447282 22894564