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12224853732 = 223713431391873
BaseRepresentation
bin10110110001010100…
…00111011011100100
31011112222012220200110
423120222013123210
5200014030304412
65341021013020
7611641353660
oct133052073344
934488186613
1012224853732
11520367a603
1224520b4170
1311ca911580
1483d82d8a0
154b8388d3c
hex2d8a876e4

12224853732 has 192 divisors, whose sum is σ = 36201482240. Its totient is φ = 3124832256.

The previous prime is 12224853727. The next prime is 12224853743. The reversal of 12224853732 is 23735842221.

12224853732 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 (39).

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 63 ways as a sum of consecutive naturals, for example, 6525948 + ... + 6527820.

Almost surely, 212224853732 is an apocalyptic number.

12224853732 is a gapful number since it is divisible by the number (12) 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 12224853732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100741120).

12224853732 is an abundant number, since it is smaller than the sum of its proper divisors (23976628508).

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

12224853732 is a wasteful number, since it uses less digits than its factorization.

12224853732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2080 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 12224853732 in words is "twelve billion, two hundred twenty-four million, eight hundred fifty-three thousand, seven hundred thirty-two".