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12230322432 = 28379201581
BaseRepresentation
bin10110110001111101…
…11110100100000000
31011120100111202022220
423120332332210000
5200021430304212
65341334131040
7612036011466
oct133076764400
934510452286
1012230322432
115206775299
122453ab0a80
1311cbaa77a3
14840454836
154b8ab938c
hex2d8fbe900

12230322432 has 72 divisors (see below), whose sum is σ = 32962688640. Its totient is φ = 4025149440.

The previous prime is 12230322407. The next prime is 12230322443. The reversal of 12230322432 is 23422303221.

12230322432 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 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 7 ways as a sum of consecutive naturals, for example, 40119 + ... + 161462.

It is an arithmetic number, because the mean of its divisors is an integer number (457815120).

Almost surely, 212230322432 is an apocalyptic number.

12230322432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12230322432 is an abundant number, since it is smaller than the sum of its proper divisors (20732366208).

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

12230322432 is an equidigital number, since it uses as much as digits as its factorization.

12230322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201679 (or 201665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12230322432 its reverse (23422303221), we get a palindrome (35652625653).

The spelling of 12230322432 in words is "twelve billion, two hundred thirty million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672 201581 403162 604743 806324 1209486 1612648 2418972 3225296 4837944 6450592 9675888 12901184 15924899 19351776 25802368 31849798 38703552 47774697 51604736 63699596 77407104 95549394 127399192 154814208 191098788 254798384 382197576 509596768 764395152 1019193536 1528790304 2038387072 3057580608 4076774144 6115161216 12230322432