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12229263396 = 22327226332
BaseRepresentation
bin10110110001110101…
…11100000000100100
31011120021111221121100
423120322330000210
5200021142412041
65341255320100
7612024011100
oct133072740044
934507457540
1012229263396
115206111659
122453680030
1311cb7c673c
1484025a900
154b895a6b6
hex2d8ebc024

12229263396 has 81 divisors (see below), whose sum is σ = 35973520401. Its totient is φ = 3492748224.

The previous prime is 12229263359. The next prime is 12229263401. The reversal of 12229263396 is 69336292221.

The square root of 12229263396 is 110586.

It is a perfect power (a square), and thus also a powerful number.

12229263396 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 9 + 2 + 633 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2000772900 + 10228490496 = 44730^2 + 101136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4643296 + ... + 4645928.

Almost surely, 212229263396 is an apocalyptic number.

12229263396 is the 110586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12229263396

12229263396 is an abundant number, since it is smaller than the sum of its proper divisors (23744257005).

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

12229263396 is an equidigital number, since it uses as much as digits as its factorization.

12229263396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 2645 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

It can be divided in two parts, 12229 and 263396, that added together give a square (275625 = 5252).

The spelling of 12229263396 in words is "twelve billion, two hundred twenty-nine million, two hundred sixty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2633 5266 7899 10532 15798 18431 23697 31596 36862 47394 55293 73724 94788 110586 129017 165879 221172 258034 331758 387051 516068 663516 774102 1161153 1548204 2322306 4644612 6932689 13865378 20798067 27730756 41596134 48528823 62394201 83192268 97057646 124788402 145586469 194115292 249576804 291172938 339701761 436759407 582345876 679403522 873518814 1019105283 1358807044 1747037628 2038210566 3057315849 4076421132 6114631698 12229263396