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12223952 = 2413173457
BaseRepresentation
bin101110101000…
…010111010000
3212000001002222
4232220113100
511112131302
61114000212
7205621226
oct56502720
925001088
1012223952
11699a044
124116068
1326bcc10
1418a2b16
151116da2
hexba85d0

12223952 has 40 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 5308416.

The previous prime is 12223933. The next prime is 12223979. The reversal of 12223952 is 25932221.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 12222016 = 44^2 + 3496^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 1808 + ... + 5264.

Almost surely, 212223952 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 12223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).

12223952 is an abundant number, since it is smaller than the sum of its proper divisors (14789944).

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

12223952 is a wasteful number, since it uses less digits than its factorization.

12223952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 12223952 is about 3496.2768769078. The cubic root of 12223952 is about 230.3583073028.

The spelling of 12223952 in words is "twelve million, two hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3457 3536 6914 13828 27656 44941 55312 58769 89882 117538 179764 235076 359528 470152 719056 763997 940304 1527994 3055988 6111976 12223952