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22056264 = 23321923701
BaseRepresentation
bin101010000100…
…0110101001000
31112111120111200
41110020311020
521121300024
62104424200
7355321656
oct124106510
945446450
1022056264
11114a521a
127478060
134753359
142d01dd6
151e0a2c9
hex1508d48

22056264 has 96 divisors (see below), whose sum is σ = 65707200. Its totient is φ = 6652800.

The previous prime is 22056257. The next prime is 22056271. The reversal of 22056264 is 46265022.

It is an interprime number because it is at equal distance from previous prime (22056257) and next prime (22056271).

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, 31114 + ... + 31814.

It is an arithmetic number, because the mean of its divisors is an integer number (684450).

Almost surely, 222056264 is an apocalyptic number.

22056264 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 22056264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32853600).

22056264 is an abundant number, since it is smaller than the sum of its proper divisors (43650936).

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

22056264 is a wasteful number, since it uses less digits than its factorization.

22056264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22056264 is about 4696.4096925204. The cubic root of 22056264 is about 280.4425993291.

The spelling of 22056264 in words is "twenty-two million, fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 701 828 874 1311 1368 1402 1656 1748 2103 2622 2804 3496 3933 4206 5244 5608 6309 7866 8412 10488 12618 13319 15732 16123 16824 25236 26638 31464 32246 39957 48369 50472 53276 64492 79914 96738 106552 119871 128984 145107 159828 193476 239742 290214 306337 319656 386952 479484 580428 612674 919011 958968 1160856 1225348 1838022 2450696 2757033 3676044 5514066 7352088 11028132 22056264