22450560 has 128 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 5437440.

The previous prime is 22450499. The next prime is 22450567. The reversal of 22450560 is 6505422.

It is a tau number, because it is divible by the number of its divisors (128).

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 22450560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22450567) 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, 20589 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^22450560 is an apocalyptic number.

22450560 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 22450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

22450560 is an abundant number, since it is smaller than the sum of its proper divisors (55689600).

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

22450560 is a wasteful number, since it uses less digits than its factorization.

22450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 22450560 is about 4738.2021907048. The cubic root of 22450560 is about 282.1038800431.

Adding to 22450560 its reverse (6505422), we get a palindrome (28955982).

The spelling of 22450560 in words is "twenty-two million, four hundred fifty thousand, five hundred sixty".