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22983264 = 25348867
BaseRepresentation
bin101011110101…
…1001001100000
31121020200010000
41113223021200
521340431024
62140340000
7366232413
oct127531140
947220100
1022983264
1111a78737
127844600
1349b9285
1430a3b7a
15203ecc9
hex15eb260

22983264 has 60 divisors (see below), whose sum is σ = 67600764. Its totient is φ = 7660224.

The previous prime is 22983251. The next prime is 22983313. The reversal of 22983264 is 46238922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1842 + ... + 7025.

Almost surely, 222983264 is an apocalyptic number.

22983264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22983264 is an abundant number, since it is smaller than the sum of its proper divisors (44617500).

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

22983264 is an equidigital number, since it uses as much as digits as its factorization.

22983264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8872 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22983264 is about 4794.0863571696. The cubic root of 22983264 is about 284.3177030480.

The spelling of 22983264 in words is "twenty-two million, nine hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 8867 17734 26601 35468 53202 70936 79803 106404 141872 159606 212808 239409 283744 319212 425616 478818 638424 718227 851232 957636 1276848 1436454 1915272 2553696 2872908 3830544 5745816 7661088 11491632 22983264