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12266232 = 2331197479
BaseRepresentation
bin101110110010…
…101011111000
3212002012002220
4232302223320
511120004412
61114524040
7206155416
oct56625370
925065086
1012266232
116a18890
124136620
132706234
1418b42b6
15112468c
hexbb2af8

12266232 has 64 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3671040.

The previous prime is 12266213. The next prime is 12266237. The reversal of 12266232 is 23266221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12266237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25369 + ... + 25847.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 212266232 is an apocalyptic number.

12266232 is a gapful number since it is divisible by the number (12) 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 12266232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12266232 is an abundant number, since it is smaller than the sum of its proper divisors (21602568).

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

12266232 is a wasteful number, since it uses less digits than its factorization.

12266232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 12266232 is about 3502.3180894944. The cubic root of 12266232 is about 230.6235881701.

The spelling of 12266232 in words is "twelve million, two hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 479 582 776 958 1067 1164 1437 1916 2134 2328 2874 3201 3832 4268 5269 5748 6402 8536 10538 11496 12804 15807 21076 25608 31614 42152 46463 63228 92926 126456 139389 185852 278778 371704 511093 557556 1022186 1115112 1533279 2044372 3066558 4088744 6133116 12266232