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22031233120 = 25513139181421
BaseRepresentation
bin10100100001001010…
…011111000001100000
32002212101122121021001
4110201022133001200
5330104443424440
614042045441344
71406645251231
oct244112370140
962771577231
1022031233120
119386069586
12432a270254
132101469320
1410cdd91088
1588e24cb9a
hex52129f060

22031233120 has 192 divisors, whose sum is σ = 56902547520. Its totient is φ = 8012390400.

The previous prime is 22031233111. The next prime is 22031233157. The reversal of 22031233120 is 2133213022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52330510 + ... + 52330930.

It is an arithmetic number, because the mean of its divisors is an integer number (296367435).

Almost surely, 222031233120 is an apocalyptic number.

22031233120 is a gapful number since it is divisible by the number (20) 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 22031233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28451273760).

22031233120 is an abundant number, since it is smaller than the sum of its proper divisors (34871314400).

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

22031233120 is a wasteful number, since it uses less digits than its factorization.

22031233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22031233120 its reverse (2133213022), we get a palindrome (24164446142).

The spelling of 22031233120 in words is "twenty-two billion, thirty-one million, two hundred thirty-three thousand, one hundred twenty".