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22129692000 = 2535313433299
BaseRepresentation
bin10100100111000010…
…000100110101100000
32010010020220211110020
4110213002010311200
5330310200121000
614055524033440
71412252164323
oct244702046540
963106824406
1022129692000
1194266a8159
124357232880
132118990510
1410dd0a07ba
15897beaba0
hex527084d60

22129692000 has 384 divisors, whose sum is σ = 79913433600. Its totient is φ = 5319014400.

The previous prime is 22129691999. The next prime is 22129692059. The reversal of 22129692000 is 29692122.

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 63 ways as a sum of consecutive naturals, for example, 6706351 + ... + 6709649.

It is an arithmetic number, because the mean of its divisors is an integer number (208107900).

Almost surely, 222129692000 is an apocalyptic number.

22129692000 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 22129692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39956716800).

22129692000 is an abundant number, since it is smaller than the sum of its proper divisors (57783741600).

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

22129692000 is a wasteful number, since it uses less digits than its factorization.

22129692000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 22129692000 in words is "twenty-two billion, one hundred twenty-nine million, six hundred ninety-two thousand".