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12237216 = 253196709
BaseRepresentation
bin101110101011…
…100110100000
3212000201022020
4232223212200
511113042331
61114141440
7206005005
oct56534640
925021266
1012237216
1169a9002
124121880
1326c5c74
1418a78ac
15111ac96
hexbab9a0

12237216 has 48 divisors (see below), whose sum is σ = 33818400. Its totient is φ = 3863808.

The previous prime is 12237133. The next prime is 12237227. The reversal of 12237216 is 61273221.

12237216 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 Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (704550).

Almost surely, 212237216 is an apocalyptic number.

12237216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12237216 is an abundant number, since it is smaller than the sum of its proper divisors (21581184).

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

12237216 is a wasteful number, since it uses less digits than its factorization.

12237216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6733 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 12237216 is about 3498.1732375627. The cubic root of 12237216 is about 230.4415964635.

The spelling of 12237216 in words is "twelve million, two hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6709 13418 20127 26836 40254 53672 80508 107344 127471 161016 214688 254942 322032 382413 509884 644064 764826 1019768 1529652 2039536 3059304 4079072 6118608 12237216