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21912264 = 23321173379
BaseRepresentation
bin101001110010…
…1101011001000
31112020020222100
41103211223020
521102143024
62101353400
7354152103
oct123455310
945206870
1021912264
1111407010
127408860
13470294a
142ca573a
151dcc7c9
hex14e5ac8

21912264 has 96 divisors (see below), whose sum is σ = 65800800. Its totient is φ = 6531840.

The previous prime is 21912259. The next prime is 21912271. The reversal of 21912264 is 46221912.

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 23 ways as a sum of consecutive naturals, for example, 57627 + ... + 58005.

It is an arithmetic number, because the mean of its divisors is an integer number (685425).

Almost surely, 221912264 is an apocalyptic number.

21912264 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 21912264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32900400).

21912264 is an abundant number, since it is smaller than the sum of its proper divisors (43888536).

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

21912264 is a wasteful number, since it uses less digits than its factorization.

21912264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 21912264 is about 4681.0537275276. The cubic root of 21912264 is about 279.8309523812.

The spelling of 21912264 in words is "twenty-one million, nine hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 379 396 438 584 657 758 792 803 876 1137 1314 1516 1606 1752 2274 2409 2628 3032 3212 3411 4169 4548 4818 5256 6424 6822 7227 8338 9096 9636 12507 13644 14454 16676 19272 25014 27288 27667 28908 33352 37521 50028 55334 57816 75042 83001 100056 110668 150084 166002 221336 249003 300168 304337 332004 498006 608674 664008 913011 996012 1217348 1826022 1992024 2434696 2739033 3652044 5478066 7304088 10956132 21912264