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12226916106 = 2324171233347
BaseRepresentation
bin10110110001100011…
…11110111100001010
31011120010002200201200
423120301332330022
5200020042303411
65341133125030
7611665033506
oct133061767412
934503080650
1012226916106
115204859049
122452929776
1311cb184202
1483dc09306
154b8644e56
hex2d8c7ef0a

12226916106 has 48 divisors (see below), whose sum is σ = 27520129728. Its totient is φ = 3920212800.

The previous prime is 12226916099. The next prime is 12226916161. The reversal of 12226916106 is 60161962221.

12226916106 is a `hidden beast` number, since 12 + 2 + 26 + 9 + 1 + 610 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64276 + ... + 169071.

It is an arithmetic number, because the mean of its divisors is an integer number (573336036).

Almost surely, 212226916106 is an apocalyptic number.

12226916106 is an abundant number, since it is smaller than the sum of its proper divisors (15293213622).

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

12226916106 is a wasteful number, since it uses less digits than its factorization.

12226916106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233467 (or 233464 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12226916106 in words is "twelve billion, two hundred twenty-six million, nine hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 41 71 82 123 142 213 246 369 426 639 738 1278 2911 5822 8733 17466 26199 52398 233347 466694 700041 1400082 2100123 4200246 9567227 16567637 19134454 28701681 33135274 49702911 57403362 86105043 99405822 149108733 172210086 298217466 679273117 1358546234 2037819351 4075638702 6113458053 12226916106