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12245088 = 253229557
BaseRepresentation
bin101110101101…
…100001100000
3212001010002210
4232231201200
511113320323
61114242120
7206036652
oct56554140
925033083
1012245088
116a03a09
124126340
1326c971b
1418aa6d2
15111d293
hexbad860

12245088 has 48 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 4056576.

The previous prime is 12245081. The next prime is 12245089. The reversal of 12245088 is 88054221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245081) 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, 21706 + ... + 22262.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 212245088 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 12245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

12245088 is an abundant number, since it is smaller than the sum of its proper divisors (20096592).

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

12245088 is a wasteful number, since it uses less digits than its factorization.

12245088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12245088 is about 3499.2982153569. The cubic root of 12245088 is about 230.4909989694.

The spelling of 12245088 in words is "twelve million, two hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 557 687 916 1114 1374 1671 1832 2228 2748 3342 3664 4456 5496 6684 7328 8912 10992 13368 17824 21984 26736 53472 127553 255106 382659 510212 765318 1020424 1530636 2040848 3061272 4081696 6122544 12245088