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12233312232 = 233836599319
BaseRepresentation
bin10110110010010100…
…11000011111101000
31011120120010122120020
423121022120133220
5200023211442412
65341522200440
7612103303221
oct133112303750
934516118506
1012233312232
1152084275a9
122454ab3120
1311cc5b35bb
148409d2248
154b8eaa18c
hex2d92987e8

12233312232 has 64 divisors (see below), whose sum is σ = 31002048000. Its totient is φ = 4022096064.

The previous prime is 12233312227. The next prime is 12233312249. The reversal of 12233312232 is 23221333221.

12233312232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1308069 + ... + 1317387.

It is an arithmetic number, because the mean of its divisors is an integer number (484407000).

Almost surely, 212233312232 is an apocalyptic number.

12233312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233312232 is an abundant number, since it is smaller than the sum of its proper divisors (18768735768).

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

12233312232 is a wasteful number, since it uses less digits than its factorization.

12233312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10066 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12233312232 its reverse (23221333221), we get a palindrome (35454645453).

The spelling of 12233312232 in words is "twelve billion, two hundred thirty-three million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 659 664 996 1318 1977 1992 2636 3954 5272 7908 9319 15816 18638 27957 37276 54697 55914 74552 109394 111828 164091 218788 223656 328182 437576 656364 773477 1312728 1546954 2320431 3093908 4640862 6141221 6187816 9281724 12282442 18423663 18563448 24564884 36847326 49129768 73694652 147389304 509721343 1019442686 1529164029 2038885372 3058328058 4077770744 6116656116 12233312232