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12238368 = 253177499
BaseRepresentation
bin101110101011…
…111000100000
3212000202212220
4232223320200
511113111433
61114151040
7206011242
oct56537040
925022786
1012238368
1169a995a
124122480
1326c664c
1418a8092
15111b2b3
hexbabe20

12238368 has 48 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 3838976.

The previous prime is 12238367. The next prime is 12238403. The reversal of 12238368 is 86383221.

12238368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (12238367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 212238368 is an apocalyptic number.

It is an amenable number.

12238368 is an abundant number, since it is smaller than the sum of its proper divisors (21781632).

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

12238368 is a wasteful number, since it uses less digits than its factorization.

12238368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7521 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12238368 is about 3498.3378910563. The cubic root of 12238368 is about 230.4488274216.

It can be divided in two parts, 1223 and 8368, that added together give a triangular number (9591 = T138).

The spelling of 12238368 in words is "twelve million, two hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7499 14998 22497 29996 44994 59992 89988 119984 127483 179976 239968 254966 359952 382449 509932 719904 764898 1019864 1529796 2039728 3059592 4079456 6119184 12238368