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12255232 = 2161117
BaseRepresentation
bin101110110000…
…000000000000
3212001122000111
4232300000000
511114131412
61114401104
7206111353
oct56600000
925048014
1012255232
116a105a0
124130194
132701222
1418b029a
1511212a7
hexbb0000

12255232 has 68 divisors (see below), whose sum is σ = 28311336. Its totient is φ = 5242880.

The previous prime is 12255227. The next prime is 12255259. The reversal of 12255232 is 23255221.

It is a tau number, because it is divible by the number of its divisors (68).

It is a super-2 number, since 2×122552322 = 300381422747648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (1200) is a multiple of the sum of its prime divisors (30).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

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, 720888 + ... + 720904.

Almost surely, 212255232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155668).

12255232 is an abundant number, since it is smaller than the sum of its proper divisors (16056104).

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

12255232 is an frugal number, since it uses more digits than its factorization.

12255232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 12255232 is about 3500.7473487814. The cubic root of 12255232 is about 230.5546287109.

The spelling of 12255232 in words is "twelve million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1024 1088 1408 1496 2048 2176 2816 2992 4096 4352 5632 5984 8192 8704 11264 11968 16384 17408 22528 23936 32768 34816 45056 47872 65536 69632 90112 95744 139264 180224 191488 278528 360448 382976 557056 720896 765952 1114112 1531904 3063808 6127616 12255232