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12233568 = 253192353
BaseRepresentation
bin101110101010…
…101101100000
3212000112022010
4232222231200
511112433233
61114112520
7205661244
oct56525540
925015263
1012233568
1169a6296
12411b740
1326c43c9
1418a6424
151119b63
hexbaab60

12233568 has 72 divisors (see below), whose sum is σ = 33988248. Its totient is φ = 3852288.

The previous prime is 12233537. The next prime is 12233579. The reversal of 12233568 is 86533221.

12233568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34480 + ... + 34832.

It is an arithmetic number, because the mean of its divisors is an integer number (472059).

Almost surely, 212233568 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 12233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994124).

12233568 is an abundant number, since it is smaller than the sum of its proper divisors (21754680).

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

12233568 is a wasteful number, since it uses less digits than its factorization.

12233568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 12233568 is about 3497.6517836972. The cubic root of 12233568 is about 230.4186954351.

Adding to 12233568 its reverse (86533221), we get a palindrome (98766789).

The spelling of 12233568 in words is "twelve million, two hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 353 361 456 608 706 722 912 1059 1083 1412 1444 1824 2118 2166 2824 2888 4236 4332 5648 5776 6707 8472 8664 11296 11552 13414 16944 17328 20121 26828 33888 34656 40242 53656 80484 107312 127433 160968 214624 254866 321936 382299 509732 643872 764598 1019464 1529196 2038928 3058392 4077856 6116784 12233568