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21923664 = 243771919
BaseRepresentation
bin101001110100…
…0011101010000
31112020211121120
41103220131100
521103024124
62101522240
7354230250
oct123503520
945224546
1021923664
1111414634
127413380
134707ba9
142ca9960
151dd0d79
hex14e8750

21923664 has 80 divisors (see below), whose sum is σ = 65710080. Its totient is φ = 6168960.

The previous prime is 21923639. The next prime is 21923683. The reversal of 21923664 is 46632912.

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, 23397 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (821376).

Almost surely, 221923664 is an apocalyptic number.

21923664 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 21923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855040).

21923664 is an abundant number, since it is smaller than the sum of its proper divisors (43786416).

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

21923664 is a wasteful number, since it uses less digits than its factorization.

21923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 21923664 is about 4682.2712437449. The cubic root of 21923664 is about 279.8794719348.

The spelling of 21923664 in words is "twenty-one million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 919 994 1136 1491 1704 1838 1988 2757 2982 3408 3676 3976 5514 5964 6433 7352 7952 11028 11928 12866 14704 19299 22056 23856 25732 38598 44112 51464 65249 77196 102928 130498 154392 195747 260996 308784 391494 456743 521992 782988 913486 1043984 1370229 1565976 1826972 2740458 3131952 3653944 5480916 7307888 10961832 21923664