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12223144432 = 2417101607733
BaseRepresentation
bin10110110001000111…
…00110000111110000
31011112212000001222001
423120203212013300
5200013111110212
65340520223344
7611621004412
oct133043460760
934485001861
1012223144432
115202712364
12245160ab54
1311ca463555
1483d5069b2
154b814c657
hex2d88e61f0

12223144432 has 80 divisors (see below), whose sum is σ = 25400017152. Its totient is φ = 5677977600.

The previous prime is 12223144421. The next prime is 12223144447. The reversal of 12223144432 is 23444132221.

It is a self number, because there is not a number n which added to its sum of digits gives 12223144432.

It is a congruent number.

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, 16675138 + ... + 16675870.

Almost surely, 212223144432 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 12223144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700008576).

12223144432 is an abundant number, since it is smaller than the sum of its proper divisors (13176872720).

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

12223144432 is a wasteful number, since it uses less digits than its factorization.

12223144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 12223144432 its reverse (23444132221), we get a palindrome (35667276653).

The spelling of 12223144432 in words is "twelve billion, two hundred twenty-three million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 607 733 808 1214 1466 1616 1717 2428 2932 3434 4856 5864 6868 9712 10319 11728 12461 13736 20638 24922 27472 41276 49844 61307 74033 82552 99688 122614 148066 165104 199376 245228 296132 444931 490456 592264 889862 980912 1042219 1184528 1258561 1779724 2084438 2517122 3559448 4168876 5034244 7118896 7563827 8337752 10068488 15127654 16675504 20136976 30255308 44938031 60510616 89876062 121021232 179752124 359504248 719008496 763946527 1527893054 3055786108 6111572216 12223144432