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12214976 = 2617103109
BaseRepresentation
bin101110100110…
…001011000000
3211222120210112
4232212023000
511111334401
61113450452
7205553114
oct56461300
924876715
1012214976
116993324
124110a28
1326b8ac7
14189d744
1511143bb
hexba62c0

12214976 has 56 divisors (see below), whose sum is σ = 26151840. Its totient is φ = 5640192.

The previous prime is 12214973. The next prime is 12214981. The reversal of 12214976 is 67941221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12214973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112010 + ... + 112118.

Almost surely, 212214976 is an apocalyptic number.

12214976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075920).

12214976 is an abundant number, since it is smaller than the sum of its proper divisors (13936864).

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

12214976 is a wasteful number, since it uses less digits than its factorization.

12214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 12214976 is about 3494.9929899787. The cubic root of 12214976 is about 230.3019097626.

The spelling of 12214976 in words is "twelve million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 109 136 206 218 272 412 436 544 824 872 1088 1648 1744 1751 1853 3296 3488 3502 3706 6592 6976 7004 7412 11227 14008 14824 22454 28016 29648 44908 56032 59296 89816 112064 118592 179632 190859 359264 381718 718528 763436 1526872 3053744 6107488 12214976