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12224231208 = 23337171732749
BaseRepresentation
bin10110110001001111…
…01111011100101000
31011112221001021202000
423120213233130220
5200013400344313
65340555411000
7611633152020
oct133047573450
934487037660
1012224231208
115203294922
122451a53a60
1311ca754107
1483d70aa80
154b82b4673
hex2d89ef728

12224231208 has 256 divisors, whose sum is σ = 41342400000. Its totient is φ = 3266998272.

The previous prime is 12224231207. The next prime is 12224231233. The reversal of 12224231208 is 80213242221.

12224231208 is a `hidden beast` number, since 1 + 2 + 224 + 231 + 208 = 666.

It is a super-2 number, since 2×122242312082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12224231207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4445418 + ... + 4448166.

It is an arithmetic number, because the mean of its divisors is an integer number (161493750).

Almost surely, 212224231208 is an apocalyptic number.

12224231208 is a gapful number since it is divisible by the number (18) 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 12224231208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20671200000).

12224231208 is an abundant number, since it is smaller than the sum of its proper divisors (29118168792).

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

12224231208 is a wasteful number, since it uses less digits than its factorization.

12224231208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12224231208 its reverse (80213242221), we get a palindrome (92437473429).

The spelling of 12224231208 in words is "twelve billion, two hundred twenty-four million, two hundred thirty-one thousand, two hundred eight".