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12232224 = 253242473
BaseRepresentation
bin101110101010…
…011000100000
3212000110110100
4232222120200
511112412344
61114102400
7205654314
oct56523040
925013410
1012232224
1169a5284
12411aa00
1326c3904
1418a5b44
151119569
hexbaa620

12232224 has 36 divisors (see below), whose sum is σ = 34786206. Its totient is φ = 4077312.

The previous prime is 12232217. The next prime is 12232243. The reversal of 12232224 is 42223221.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 535824 = 3420^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12232197 and 12232206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20949 + ... + 21524.

Almost surely, 212232224 is an apocalyptic number.

It is an amenable number.

12232224 is an abundant number, since it is smaller than the sum of its proper divisors (22553982).

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

12232224 is a wasteful number, since it uses less digits than its factorization.

12232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489 (or 42478 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 12232224 is about 3497.4596495171. The cubic root of 12232224 is about 230.4102570665.

Adding to 12232224 its reverse (42223221), we get a palindrome (54455445).

The spelling of 12232224 in words is "twelve million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42473 84946 127419 169892 254838 339784 382257 509676 679568 764514 1019352 1359136 1529028 2038704 3058056 4077408 6116112 12232224