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22940767008 = 2532709112349
BaseRepresentation
bin10101010111011000…
…000101001100100000
32012012210002201012100
4111113120011030200
5333440314021013
614312220130400
71441331205435
oct252730051440
965183081170
1022940767008
119802512885
124542996a00
132217a20363
141178aadb8c
158e400e473
hex557605320

22940767008 has 72 divisors (see below), whose sum is σ = 65330401500. Its totient is φ = 7636068864.

The previous prime is 22940766997. The next prime is 22940767009. The reversal of 22940767008 is 80076704922.

It can be written as a sum of positive squares in 2 ways, for example, as 22857811344 + 82955664 = 151188^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22940767009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148018 + ... + 260366.

Almost surely, 222940767008 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 22940767008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32665200750).

22940767008 is an abundant number, since it is smaller than the sum of its proper divisors (42389634492).

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

22940767008 is a wasteful number, since it uses less digits than its factorization.

22940767008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113074 (or 113063 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 22940767008 in words is "twenty-two billion, nine hundred forty million, seven hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 709 1418 2127 2836 4254 5672 6381 8508 11344 12762 17016 22688 25524 34032 51048 68064 102096 112349 204192 224698 337047 449396 674094 898792 1011141 1348188 1797584 2022282 2696376 3595168 4044564 5392752 8089128 10785504 16178256 32356512 79655441 159310882 238966323 318621764 477932646 637243528 716898969 955865292 1274487056 1433797938 1911730584 2548974112 2867595876 3823461168 5735191752 7646922336 11470383504 22940767008