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22023304128 = 2632717331573
BaseRepresentation
bin10100100000101100…
…001111001111000000
32002211211201202201200
4110200230033033000
5330100431213003
614041203501200
71406520665520
oct244054171700
962754652650
1022023304128
1193816433a1
124327687800
1320cc921307
1410cccc9680
1588d6d36a3
hex520b0f3c0

22023304128 has 168 divisors, whose sum is σ = 72563114208. Its totient is φ = 6255802368.

The previous prime is 22023304123. The next prime is 22023304151. The reversal of 22023304128 is 82140332022.

22023304128 is a `hidden beast` number, since 2 + 202 + 330 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023304123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681750 + ... + 713322.

Almost surely, 222023304128 is an apocalyptic number.

22023304128 is a gapful number since it is divisible by the number (28) 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 22023304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36281557104).

22023304128 is an abundant number, since it is smaller than the sum of its proper divisors (50539810080).

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

22023304128 is a wasteful number, since it uses less digits than its factorization.

22023304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31771 (or 31758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22023304128 in words is "twenty-two billion, twenty-three million, three hundred four thousand, one hundred twenty-eight".