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12228665600 = 28521910729
BaseRepresentation
bin10110110001110001…
…01010000100000000
31011120020101120120202
423120320222010000
5200021014244400
65341234424332
7612015641204
oct133070520400
934506346522
1012228665600
115205843508
1224534320a8
1311cb647608
14840142b04
154b888d4d5
hex2d8e2a100

12228665600 has 54 divisors (see below), whose sum is σ = 30267873930. Its totient is φ = 4891463680.

The previous prime is 12228665587. The next prime is 12228665629. The reversal of 12228665600 is 656682221.

It can be written as a sum of positive squares in 3 ways, for example, as 3098480896 + 9130184704 = 55664^2 + 95552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 948965 + ... + 961764.

Almost surely, 212228665600 is an apocalyptic number.

12228665600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12228665600 is an abundant number, since it is smaller than the sum of its proper divisors (18039208330).

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

12228665600 is an equidigital number, since it uses as much as digits as its factorization.

12228665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910755 (or 1910736 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 12228665600 in words is "twelve billion, two hundred twenty-eight million, six hundred sixty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 1910729 3821458 7642916 9553645 15285832 19107290 30571664 38214580 47768225 61143328 76429160 95536450 122286656 152858320 191072900 244573312 305716640 382145800 489146624 611433280 764291600 1222866560 1528583200 2445733120 3057166400 6114332800 12228665600