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12802224 = 2431729541
BaseRepresentation
bin110000110101…
…100010110000
3220002102100110
4300311202300
511234132344
61134221320
7213550161
oct60654260
926072313
1012802224
117254556
124354840
1328631a6
1419b3768
1511cd3b9
hexc358b0

12802224 has 80 divisors (see below), whose sum is σ = 36292320. Its totient is φ = 3870720.

The previous prime is 12802213. The next prime is 12802243. The reversal of 12802224 is 42220821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12802224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23394 + ... + 23934.

It is an arithmetic number, because the mean of its divisors is an integer number (453654).

Almost surely, 212802224 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 12802224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146160).

12802224 is an abundant number, since it is smaller than the sum of its proper divisors (23490096).

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

12802224 is a wasteful number, since it uses less digits than its factorization.

12802224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12802224 is about 3578.0195639487. The cubic root of 12802224 is about 233.9349662213.

The spelling of 12802224 in words is "twelve million, eight hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 541 696 816 986 1082 1392 1479 1623 1972 2164 2958 3246 3944 4328 5916 6492 7888 8656 9197 11832 12984 15689 18394 23664 25968 27591 31378 36788 47067 55182 62756 73576 94134 110364 125512 147152 188268 220728 251024 266713 376536 441456 533426 753072 800139 1066852 1600278 2133704 3200556 4267408 6401112 12802224