22561000 has 128 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7008000.

The previous prime is 22560983. The next prime is 22561001. The reversal of 22561000 is 16522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22561001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76854 + ... + 77146.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^22561000 is an apocalyptic number.

22561000 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 22561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

22561000 is an abundant number, since it is smaller than the sum of its proper divisors (43483160).

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

22561000 is a wasteful number, since it uses less digits than its factorization.

22561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22561000 is about 4749.8421026388. The cubic root of 22561000 is about 282.5657037766.

Adding to 22561000 its reverse (16522), we get a palindrome (22577522).

The spelling of 22561000 in words is "twenty-two million, five hundred sixty-one thousand".