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22430567328 = 25313314179179
BaseRepresentation
bin10100111000111101…
…110100101110100000
32010220020001212210220
4110320331310232200
5331414211123303
614145432523040
71422564451011
oct247075645640
963806055726
1022430567328
11957051a254
12441bb50480
132166106860
14112b021008
158b432e053
hex538f74ba0

22430567328 has 384 divisors, whose sum is σ = 68279500800. Its totient is φ = 6397747200.

The previous prime is 22430567321. The next prime is 22430567399. The reversal of 22430567328 is 82376503422.

It is a self number, because there is not a number n which added to its sum of digits gives 22430567328.

It is not an unprimeable number, because it can be changed into a prime (22430567321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125310343 + ... + 125310521.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 222430567328 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 22430567328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139750400).

22430567328 is an abundant number, since it is smaller than the sum of its proper divisors (45848933472).

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

22430567328 is a wasteful number, since it uses less digits than its factorization.

22430567328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 22430567328 in words is "twenty-two billion, four hundred thirty million, five hundred sixty-seven thousand, three hundred twenty-eight".