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23422008960 = 2732576189107
BaseRepresentation
bin10101110100000011…
…110111111010000000
32020110022122100001100
4111310003313322000
5340432013241320
614432050534400
71456263535260
oct256403677200
966408570040
1023422008960
119a2a127aa9
124657b97400
1322936383cc
1411c29817a0
159213be790
hex5740f7e80

23422008960 has 768 divisors, whose sum is σ = 95892076800. Its totient is φ = 5158010880.

The previous prime is 23422008937. The next prime is 23422008971. The reversal of 23422008960 is 6980022432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218897227 + ... + 218897333.

It is an arithmetic number, because the mean of its divisors is an integer number (124859475).

Almost surely, 223422008960 is an apocalyptic number.

23422008960 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 23422008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47946038400).

23422008960 is an abundant number, since it is smaller than the sum of its proper divisors (72470067840).

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

23422008960 is a wasteful number, since it uses less digits than its factorization.

23422008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23422008960 in words is "twenty-three billion, four hundred twenty-two million, eight thousand, nine hundred sixty".