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22138004928 = 2631321767599
BaseRepresentation
bin10100100111100001…
…110010010111000000
32010010211120011122110
4110213201302113000
5330314312124203
614100422135320
71412412636264
oct244741622700
963124504573
1022138004928
119430365846
124359b81540
13211a611200
1411002260a4
158987ddd03
hex5278725c0

22138004928 has 336 divisors, whose sum is σ = 68272761600. Its totient is φ = 6304776192.

The previous prime is 22138004927. The next prime is 22138004939. The reversal of 22138004928 is 82940083122.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138004927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36957973 + ... + 36958571.

Almost surely, 222138004928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34136380800).

22138004928 is an abundant number, since it is smaller than the sum of its proper divisors (46134756672).

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

22138004928 is a wasteful number, since it uses less digits than its factorization.

22138004928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 22138004928 in words is "twenty-two billion, one hundred thirty-eight million, four thousand, nine hundred twenty-eight".