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12228864 = 28315923
BaseRepresentation
bin101110101001…
…100100000000
3212000021211220
4232221210000
511112310424
61114035040
7205641444
oct56514400
925007756
1012228864
1169a27aa
124118a80
1326c221b
1418a4824
151118579
hexba9900

12228864 has 36 divisors (see below), whose sum is σ = 32548656. Its totient is φ = 4076032.

The previous prime is 12228859. The next prime is 12228869. The reversal of 12228864 is 46882221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12228859) and next prime (12228869).

It is a super-2 number, since 2×122288642 = 299090229460992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12228869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7194 + ... + 8729.

Almost surely, 212228864 is an apocalyptic number.

It is an amenable number.

12228864 is an abundant number, since it is smaller than the sum of its proper divisors (20319792).

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

12228864 is an equidigital number, since it uses as much as digits as its factorization.

12228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15928 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 12228864 is about 3496.9792678825. The cubic root of 12228864 is about 230.3891584405.

The spelling of 12228864 in words is "twelve million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 15923 31846 47769 63692 95538 127384 191076 254768 382152 509536 764304 1019072 1528608 2038144 3057216 4076288 6114432 12228864