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12214496 = 257311759
BaseRepresentation
bin101110100110…
…000011100000
3211222120010202
4232212003200
511111330441
61113444332
7205551530
oct56460340
924876122
1012214496
116992a28
1241106a8
1326b8818
14189d4c0
15111419b
hexba60e0

12214496 has 48 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 5063040.

The previous prime is 12214493. The next prime is 12214507. The reversal of 12214496 is 69441221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214493) 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, 6065 + ... + 7823.

It is an arithmetic number, because the mean of its divisors is an integer number (591360).

Almost surely, 212214496 is an apocalyptic number.

12214496 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 12214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

12214496 is an abundant number, since it is smaller than the sum of its proper divisors (16170784).

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

12214496 is a wasteful number, since it uses less digits than its factorization.

12214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 12214496 is about 3494.9243196384. The cubic root of 12214496 is about 230.2988930732.

The spelling of 12214496 in words is "twelve million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1759 3472 3518 6944 7036 12313 14072 24626 28144 49252 54529 56288 98504 109058 197008 218116 381703 394016 436232 763406 872464 1526812 1744928 3053624 6107248 12214496