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22399130880 = 28345724409
BaseRepresentation
bin10100110111000101…
…111001110100000000
32010211000220202010000
4110313011321310000
5331333134142010
614142351040000
71422033320400
oct246705716400
963730822100
1022399130880
1195547a8615
124411510000
13215c74aac9
141126b9a800
158b16be7c0
hex537179d00

22399130880 has 540 divisors, whose sum is σ = 93254750820. Its totient is φ = 5118640128.

The previous prime is 22399130869. The next prime is 22399130899. The reversal of 22399130880 is 8803199322.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 17973156096 = 66528^2 + 134064^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5078116 + ... + 5082524.

It is an arithmetic number, because the mean of its divisors is an integer number (172693983).

Almost surely, 222399130880 is an apocalyptic number.

22399130880 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 22399130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46627375410).

22399130880 is an abundant number, since it is smaller than the sum of its proper divisors (70855619940).

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

22399130880 is an equidigital number, since it uses as much as digits as its factorization.

22399130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 22399130880 in words is "twenty-two billion, three hundred ninety-nine million, one hundred thirty thousand, eight hundred eighty".