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22598922240 = 21235519239
BaseRepresentation
bin10101000011000000…
…000011000000000000
32011022221212012100000
4111003000003000000
5332240311002430
614214245200000
71430010445446
oct250300030000
964287765300
1022598922240
119647558844
124468400000
132191c6114b
141145526b96
158c3ed6e60
hex543003000

22598922240 has 624 divisors, whose sum is σ = 85867891200. Its totient is φ = 5685313536.

The previous prime is 22598922217. The next prime is 22598922263. The reversal of 22598922240 is 4222989522.

It is an interprime number because it is at equal distance from previous prime (22598922217) and next prime (22598922263).

It is a super-2 number, since 2×225989222402 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94556041 + ... + 94556279.

It is an arithmetic number, because the mean of its divisors is an integer number (137608800).

Almost surely, 222598922240 is an apocalyptic number.

22598922240 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 22598922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42933945600).

22598922240 is an abundant number, since it is smaller than the sum of its proper divisors (63268968960).

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

22598922240 is an equidigital number, since it uses as much as digits as its factorization.

22598922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22598922240 in words is "twenty-two billion, five hundred ninety-eight million, nine hundred twenty-two thousand, two hundred forty".