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12240226260 = 22325373182309
BaseRepresentation
bin10110110011001001…
…10000011111010100
31011121001010220211100
423121210300133110
5200031444220020
65342330310100
7612216130563
oct133144603724
934531126740
1012240226260
11521131a179
122457288330
131200b64642
148418b1bda
154b98c3a90
hex2d99307d4

12240226260 has 72 divisors (see below), whose sum is σ = 37228431240. Its totient is φ = 3255291648.

The previous prime is 12240226241. The next prime is 12240226277. The reversal of 12240226260 is 6262204221.

It is a happy number.

12240226260 is a `hidden beast` number, since 12 + 2 + 4 + 0 + 22 + 626 + 0 = 666.

12240226260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3714658704 + 8525567556 = 60948^2 + 92334^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24015 + ... + 158294.

It is an arithmetic number, because the mean of its divisors is an integer number (517061545).

Almost surely, 212240226260 is an apocalyptic number.

12240226260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240226260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614215620).

12240226260 is an abundant number, since it is smaller than the sum of its proper divisors (24988204980).

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

12240226260 is a wasteful number, since it uses less digits than its factorization.

12240226260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182697 (or 182692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12240226260 in words is "twelve billion, two hundred forty million, two hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 182309 364618 546927 729236 911545 1093854 1640781 1823090 2187708 2734635 3281562 3646180 5469270 6563124 8203905 10938540 16407810 32815620 68001257 136002514 204003771 272005028 340006285 408007542 612011313 680012570 816015084 1020018855 1224022626 1360025140 2040037710 2448045252 3060056565 4080075420 6120113130 12240226260