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12304075224 = 2337229360781
BaseRepresentation
bin10110111010110000…
…10100100111011000
31011202111021210010210
423131120110213120
5200144320401344
65352531011120
7613622625300
oct133530244730
934674253123
1012304075224
115244369911
122474739aa0
13121115b4ac
1484a172600
154c02d6db9
hex2dd6149d8

12304075224 has 96 divisors (see below), whose sum is σ = 37016233200. Its totient is φ = 3394218240.

The previous prime is 12304075207. The next prime is 12304075229. The reversal of 12304075224 is 42257040321.

12304075224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12304075191 and 12304075200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304075229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146287 + ... + 214494.

Almost surely, 212304075224 is an apocalyptic number.

12304075224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12304075224 is an abundant number, since it is smaller than the sum of its proper divisors (24712157976).

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

12304075224 is a wasteful number, since it uses less digits than its factorization.

12304075224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360833 (or 360822 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 12304075224 in words is "twelve billion, three hundred four million, seventy-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104 360781 721562 1082343 1443124 2164686 2525467 2886248 4329372 5050934 7576401 8658744 10101868 10462649 15152802 17678269 20203736 20925298 30305604 31387947 35356538 41850596 53034807 60611208 62775894 70713076 73238543 83701192 106069614 125551788 141426152 146477086 212139228 219715629 251103576 292954172 424278456 439431258 512669801 585908344 878862516 1025339602 1538009403 1757725032 2050679204 3076018806 4101358408 6152037612 12304075224