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22700664 = 2332773617
BaseRepresentation
bin101011010011…
…0001001111000
31120201022110100
41112212021320
521302410124
62130315400
7363644460
oct126461170
946638410
1022700664
11118a5388
127728b60
13491a75c
14302cba0
151ed61c9
hex15a6278

22700664 has 96 divisors (see below), whose sum is σ = 71341920. Its totient is φ = 6386688.

The previous prime is 22700653. The next prime is 22700669. The reversal of 22700664 is 46600722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22700669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36484 + ... + 37100.

It is an arithmetic number, because the mean of its divisors is an integer number (743145).

Almost surely, 222700664 is an apocalyptic number.

22700664 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 22700664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35670960).

22700664 is an abundant number, since it is smaller than the sum of its proper divisors (48641256).

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

22700664 is a wasteful number, since it uses less digits than its factorization.

22700664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22700664 is about 4764.5213820488. The cubic root of 22700664 is about 283.1475795918.

The spelling of 22700664 in words is "twenty-two million, seven hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 617 657 876 1022 1234 1314 1533 1752 1851 2044 2468 2628 3066 3702 4088 4319 4599 4936 5256 5553 6132 7404 8638 9198 11106 12264 12957 14808 17276 18396 22212 25914 34552 36792 38871 44424 45041 51828 77742 90082 103656 135123 155484 180164 270246 310968 315287 360328 405369 540492 630574 810738 945861 1080984 1261148 1621476 1891722 2522296 2837583 3242952 3783444 5675166 7566888 11350332 22700664