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22019890500 = 2234534189149
BaseRepresentation
bin10100100000011111…
…001101110101000100
32002211121022100010000
4110200133031311010
5330044042444000
614041002401300
71406446660326
oct244037156504
962747270100
1022019890500
11937a721713
124326500230
1320cbcc760a
1410cc67b616
1588d25c000
hex5207cdd44

22019890500 has 480 divisors, whose sum is σ = 74918844000. Its totient is φ = 5626368000.

The previous prime is 22019890499. The next prime is 22019890531. The reversal of 22019890500 is 509891022.

It can be written as a sum of positive squares in 16 ways, for example, as 21828289536 + 191600964 = 147744^2 + 13842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147784426 + ... + 147784574.

It is an arithmetic number, because the mean of its divisors is an integer number (156080925).

Almost surely, 222019890500 is an apocalyptic number.

22019890500 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 22019890500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37459422000).

22019890500 is an abundant number, since it is smaller than the sum of its proper divisors (52898953500).

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

22019890500 is a wasteful number, since it uses less digits than its factorization.

22019890500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 22019890500 in words is "twenty-two billion, nineteen million, eight hundred ninety thousand, five hundred".