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12226235202 = 2331773182443
BaseRepresentation
bin10110110001011110…
…11000101101000010
31011120001211002201000
423120233120231002
5200014404011302
65341110352430
7611656166406
oct133057305502
934501732630
1012226235202
115204433515
12245265b716
1311caca62cc
1483daad106
154b855d31c
hex2d8bd8b42

12226235202 has 64 divisors (see below), whose sum is σ = 29161848960. Its totient is φ = 3783117312.

The previous prime is 12226235191. The next prime is 12226235207. The reversal of 12226235202 is 20253262221.

12226235202 is a `hidden beast` number, since 1 + 2 + 226 + 235 + 202 = 666.

12226235202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12226235207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24208 + ... + 158235.

It is an arithmetic number, because the mean of its divisors is an integer number (455653890).

Almost surely, 212226235202 is an apocalyptic number.

12226235202 is an abundant number, since it is smaller than the sum of its proper divisors (16935613758).

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

12226235202 is a wasteful number, since it uses less digits than its factorization.

12226235202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182544 (or 182538 counting only the distinct ones).

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

Adding to 12226235202 its reverse (20253262221), we get a palindrome (32479497423).

It can be divided in two parts, 122262 and 35202, that added together give a cube (157464 = 543).

The spelling of 12226235202 in words is "twelve billion, two hundred twenty-six million, two hundred thirty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 102 146 153 219 306 438 459 657 918 1241 1314 1971 2482 3723 3942 7446 11169 22338 33507 67014 182443 364886 547329 1094658 1641987 3101531 3283974 4925961 6203062 9304593 9851922 13318339 18609186 26636678 27913779 39955017 55827558 79910034 83741337 119865051 167482674 226411763 239730102 359595153 452823526 679235289 719190306 1358470578 2037705867 4075411734 6113117601 12226235202