Search a number
-
+
22931066880 = 212325472647
BaseRepresentation
bin10101010110110011…
…000101000000000000
32012012002211220010100
4111112303011000000
5333430323120010
614311232202400
71441152565251
oct252663050000
965162756110
1022931066880
1197a7a97a47
12453b699400
132215a05137
1411776a6b28
158e32452c0
hex556cc5000

22931066880 has 312 divisors, whose sum is σ = 81206491392. Its totient is φ = 5982584832.

The previous prime is 22931066863. The next prime is 22931066887. The reversal of 22931066880 is 8866013922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22931066887) 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, 8661717 + ... + 8664363.

It is an arithmetic number, because the mean of its divisors is an integer number (260277216).

Almost surely, 222931066880 is an apocalyptic number.

22931066880 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 22931066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40603245696).

22931066880 is an abundant number, since it is smaller than the sum of its proper divisors (58275424512).

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

22931066880 is a wasteful number, since it uses less digits than its factorization.

22931066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22931066880 in words is "twenty-two billion, nine hundred thirty-one million, sixty-six thousand, eight hundred eighty".