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12224004 = 22313127617
BaseRepresentation
bin101110101000…
…011000000100
3212000001011220
4232220120010
511112132004
61114000340
7205621332
oct56503004
925001156
1012224004
11699a091
1241160b0
1326bcc50
1418a2b52
151116dd9
hexba8604

12224004 has 48 divisors (see below), whose sum is σ = 31008768. Its totient is φ = 3725568.

The previous prime is 12223987. The next prime is 12224021. The reversal of 12224004 is 40042221.

It is an interprime number because it is at equal distance from previous prime (12223987) and next prime (12224021).

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, 19504 + ... + 20120.

It is an arithmetic number, because the mean of its divisors is an integer number (646016).

Almost surely, 212224004 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 12224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504384).

12224004 is an abundant number, since it is smaller than the sum of its proper divisors (18784764).

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

12224004 is a wasteful number, since it uses less digits than its factorization.

12224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12224004 is about 3496.2843133819. The cubic root of 12224004 is about 230.3586339461.

Adding to 12224004 its reverse (40042221), we get a palindrome (52266225).

The spelling of 12224004 in words is "twelve million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 617 762 1234 1524 1651 1851 2468 3302 3702 4953 6604 7404 8021 9906 16042 19812 24063 32084 48126 78359 96252 156718 235077 313436 470154 940308 1018667 2037334 3056001 4074668 6112002 12224004