22864500 has 72 divisors (see below), whose sum is σ = 72144072. Its totient is φ = 6096000.

The previous prime is 22864493. The next prime is 22864529. The reversal of 22864500 is 546822.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 19131876 = 1932^2 + 4374^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (1002001).

Almost surely, 2^22864500 is an apocalyptic number.

22864500 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 22864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072036).

22864500 is an abundant number, since it is smaller than the sum of its proper divisors (49279572).

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

22864500 is a wasteful number, since it uses less digits than its factorization.

22864500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5091 counting only the distinct ones).

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

The square root of 22864500 is about 4781.6838038499. The cubic root of 22864500 is about 283.8271281468.

It can be divided in two parts, 2286 and 4500, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 22864500 in words is "twenty-two million, eight hundred sixty-four thousand, five hundred".