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21924968 = 23131712401
BaseRepresentation
bin101001110100…
…0110001101000
31112020220101212
41103220301220
521103044333
62101532252
7354234122
oct123506150
945226355
1021924968
111141560a
127414088
134708670
142caa212
151dd1448
hex14e8c68

21924968 has 32 divisors (see below), whose sum is σ = 46879560. Its totient is φ = 9523200.

The previous prime is 21924961. The next prime is 21924971. The reversal of 21924968 is 86942912.

It can be written as a sum of positive squares in 4 ways, for example, as 16826404 + 5098564 = 4102^2 + 2258^2 .

It is not an unprimeable number, because it can be changed into a prime (21924961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4433 + ... + 7968.

Almost surely, 221924968 is an apocalyptic number.

It is an amenable number.

21924968 is an abundant number, since it is smaller than the sum of its proper divisors (24954592).

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

21924968 is a wasteful number, since it uses less digits than its factorization.

21924968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12433 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 21924968 is about 4682.4104903351. The cubic root of 21924968 is about 279.8850208186.

The spelling of 21924968 in words is "twenty-one million, nine hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 12401 24802 49604 99208 161213 210817 322426 421634 644852 843268 1289704 1686536 2740621 5481242 10962484 21924968