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12210816 = 27331799
BaseRepresentation
bin101110100101…
…001010000000
3211222101002110
4232211022000
511111221231
61113415320
7205535022
oct56451200
924871073
1012210816
116990192
12410a540
1326b6c47
14189c012
151113046
hexba5280

12210816 has 32 divisors (see below), whose sum is σ = 32436000. Its totient is φ = 4070144.

The previous prime is 12210791. The next prime is 12210823. The reversal of 12210816 is 61801221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12210792 and 12210801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15516 + ... + 16283.

It is an arithmetic number, because the mean of its divisors is an integer number (1013625).

Almost surely, 212210816 is an apocalyptic number.

12210816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12210816 is an abundant number, since it is smaller than the sum of its proper divisors (20225184).

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

12210816 is an equidigital number, since it uses as much as digits as its factorization.

12210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31816 (or 31804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12210816 is about 3494.3978021971. The cubic root of 12210816 is about 230.2757624953.

The spelling of 12210816 in words is "twelve million, two hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31799 63598 95397 127196 190794 254392 381588 508784 763176 1017568 1526352 2035136 3052704 4070272 6105408 12210816