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12228912 = 2432163521
BaseRepresentation
bin101110101001…
…100100110000
3212000021220200
4232221210300
511112311122
61114035200
7205641543
oct56514460
925007820
1012228912
1169a2843
124118b00
1326c2257
1418a485a
1511185ac
hexba9930

12228912 has 60 divisors (see below), whose sum is σ = 34500024. Its totient is φ = 4043520.

The previous prime is 12228901. The next prime is 12228917. The reversal of 12228912 is 21982221.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12228917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23212 + ... + 23732.

Almost surely, 212228912 is an apocalyptic number.

12228912 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 12228912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250012).

12228912 is an abundant number, since it is smaller than the sum of its proper divisors (22271112).

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

12228912 is a wasteful number, since it uses less digits than its factorization.

12228912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12228912 is about 3496.9861309419. The cubic root of 12228912 is about 230.3894598766.

The spelling of 12228912 in words is "twelve million, two hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 521 652 978 1042 1304 1467 1563 1956 2084 2608 2934 3126 3912 4168 4689 5868 6252 7824 8336 9378 11736 12504 18756 23472 25008 37512 75024 84923 169846 254769 339692 509538 679384 764307 1019076 1358768 1528614 2038152 3057228 4076304 6114456 12228912