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22024930320 = 2434510213329
BaseRepresentation
bin10100100000110010…
…011100010000010000
32002211221210101110000
4110200302130100100
5330101340232240
614041302410000
71406540550561
oct244062342020
962757711400
1022024930320
119382554158
124328130900
132100070563
1410cd1d0168
1588d905430
hex520c9c410

22024930320 has 200 divisors, whose sum is σ = 76593769560. Its totient is φ = 5865799680.

The previous prime is 22024930273. The next prime is 22024930331. The reversal of 22024930320 is 2303942022.

It can be written as a sum of positive squares in 4 ways, for example, as 2018525184 + 20006405136 = 44928^2 + 141444^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6614416 + ... + 6617744.

Almost surely, 222024930320 is an apocalyptic number.

22024930320 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 22024930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38296884780).

22024930320 is an abundant number, since it is smaller than the sum of its proper divisors (54568839240).

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

22024930320 is a wasteful number, since it uses less digits than its factorization.

22024930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 22024930320 in words is "twenty-two billion, twenty-four million, nine hundred thirty thousand, three hundred twenty".