22753008 has 80 divisors (see below), whose sum is σ = 67456000. Its totient is φ = 7335360.

The previous prime is 22753001. The next prime is 22753019. The reversal of 22753008 is 80035722.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22753001) 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, 12543 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (843200).

Almost surely, 2^22753008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22753008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33728000).

22753008 is an abundant number, since it is smaller than the sum of its proper divisors (44702992).

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

22753008 is a wasteful number, since it uses less digits than its factorization.

22753008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22753008 is about 4770.0113207413. The cubic root of 22753008 is about 283.3650431254.

It can be divided in two parts, 227 and 53008, that added together give a palindrome (53235).

The spelling of 22753008 in words is "twenty-two million, seven hundred fifty-three thousand, eight".