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12266144 = 251134847
BaseRepresentation
bin101110110010…
…101010100000
3212002011222122
4232302222200
511120004034
61114523412
7206155232
oct56625240
925064878
1012266144
116a18810
124136568
132706197
1418b4252
15112462e
hexbb2aa0

12266144 has 24 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 5575360.

The previous prime is 12266123. The next prime is 12266171. The reversal of 12266144 is 44166221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17072 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 212266144 is an apocalyptic number.

It is an amenable number.

12266144 is an abundant number, since it is smaller than the sum of its proper divisors (14078944).

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

12266144 is a wasteful number, since it uses less digits than its factorization.

12266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34868 (or 34860 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 12266144 is about 3502.3055263640. The cubic root of 12266144 is about 230.6230366580.

It can be divided in two parts, 122 and 66144, that added together give a palindrome (66266).

The spelling of 12266144 in words is "twelve million, two hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 34847 69694 139388 278776 383317 557552 766634 1115104 1533268 3066536 6133072 12266144