22822560 has 144 divisors (see below), whose sum is σ = 80904096. Its totient is φ = 6075648.

The previous prime is 22822531. The next prime is 22822561. The reversal of 22822560 is 6522822.

22822560 is a `hidden beast` number, since 22 + 82 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22822561) 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, 38587 + ... + 39173.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 2^22822560 is an apocalyptic number.

22822560 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 22822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40452048).

22822560 is an abundant number, since it is smaller than the sum of its proper divisors (58081536).

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

22822560 is an equidigital number, since it uses as much as digits as its factorization.

22822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22822560 is about 4777.2963064897. The cubic root of 22822560 is about 283.6534820222.

The spelling of 22822560 in words is "twenty-two million, eight hundred twenty-two thousand, five hundred sixty".