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12228944 = 2471337227
BaseRepresentation
bin101110101001…
…100101010000
3212000021221212
4232221211100
511112311234
61114035252
7205641620
oct56514520
925007855
1012228944
1169a2872
124118b28
1326c2280
1418a4880
1511185ce
hexba9950

12228944 has 80 divisors (see below), whose sum is σ = 30081408. Its totient is φ = 4686336.

The previous prime is 12228929. The next prime is 12228991. The reversal of 12228944 is 44982221.

It is a happy number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12228944.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53759 + ... + 53985.

Almost surely, 212228944 is an apocalyptic number.

12228944 is a gapful number since it is divisible by the number (14) 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 12228944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040704).

12228944 is an abundant number, since it is smaller than the sum of its proper divisors (17852464).

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

12228944 is a wasteful number, since it uses less digits than its factorization.

12228944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 12228944 is about 3496.9907063074. The cubic root of 12228944 is about 230.3896608336.

The spelling of 12228944 in words is "twelve million, two hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 227 259 296 364 454 481 518 592 728 908 962 1036 1456 1589 1816 1924 2072 2951 3178 3367 3632 3848 4144 5902 6356 6734 7696 8399 11804 12712 13468 16798 20657 23608 25424 26936 33596 41314 47216 53872 58793 67192 82628 109187 117586 134384 165256 218374 235172 330512 436748 470344 764309 873496 940688 1528618 1746992 3057236 6114472 12228944