22940160 has 160 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 5849088.

The previous prime is 22940147. The next prime is 22940161. The reversal of 22940160 is 6104922.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22940160.

It is not an unprimeable number, because it can be changed into a prime (22940161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222669 + ... + 222771.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^22940160 is an apocalyptic number.

22940160 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 22940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

22940160 is an abundant number, since it is smaller than the sum of its proper divisors (53662080).

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

22940160 is a wasteful number, since it uses less digits than its factorization.

22940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22940160 is about 4789.5887088559. The cubic root of 22940160 is about 284.1398504502.

The spelling of 22940160 in words is "twenty-two million, nine hundred forty thousand, one hundred sixty".