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21933984 = 253228479
BaseRepresentation
bin101001110101…
…0111110100000
31112021100202210
41103222332200
521103341414
62102042120
7354302322
oct123527640
945240683
1021933984
1111421366
127419340
13470c7b7
142cad612
151dd3e59
hex14eafa0

21933984 has 24 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 7311296.

The previous prime is 21933971. The next prime is 21934013. The reversal of 21933984 is 48933912.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×219339842 = 962199308224512, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 114144 + ... + 114335.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 221933984 is an apocalyptic number.

21933984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21933984 is an abundant number, since it is smaller than the sum of its proper divisors (35642976).

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

21933984 is a wasteful number, since it uses less digits than its factorization.

21933984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228492 (or 228484 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 21933984 is about 4683.3731433658. The cubic root of 21933984 is about 279.9233803962.

The spelling of 21933984 in words is "twenty-one million, nine hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 228479 456958 685437 913916 1370874 1827832 2741748 3655664 5483496 7311328 10966992 21933984