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12229312 = 261989113
BaseRepresentation
bin101110101001…
…101011000000
3212000022110111
4232221223000
511112314222
61114041104
7205642654
oct56515300
925008414
1012229312
1169a3077
124119194
1326c24a4
1418a4a64
151118777
hexba9ac0

12229312 has 56 divisors (see below), whose sum is σ = 26060400. Its totient is φ = 5677056.

The previous prime is 12229289. The next prime is 12229313. The reversal of 12229312 is 21392221.

It is not an unprimeable number, because it can be changed into a prime (12229313) 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 7 ways as a sum of consecutive naturals, for example, 108168 + ... + 108280.

Almost surely, 212229312 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 12229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030200).

12229312 is an abundant number, since it is smaller than the sum of its proper divisors (13831088).

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

12229312 is a wasteful number, since it uses less digits than its factorization.

12229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 12229312 is about 3497.0433225798. The cubic root of 12229312 is about 230.3919718139.

The spelling of 12229312 in words is "twelve million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 113 152 178 226 304 356 452 608 712 904 1216 1424 1691 1808 2147 2848 3382 3616 4294 5696 6764 7232 8588 10057 13528 17176 20114 27056 34352 40228 54112 68704 80456 108224 137408 160912 191083 321824 382166 643648 764332 1528664 3057328 6114656 12229312