22564500 has 144 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 5140800.

The previous prime is 22564499. The next prime is 22564513. The reversal of 22564500 is 546522.

It is a super-3 number, since 3×22564500³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73347 + ... + 73653.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 2^22564500 is an apocalyptic number.

22564500 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 22564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304).

22564500 is an abundant number, since it is smaller than the sum of its proper divisors (54120108).

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

22564500 is a wasteful number, since it uses less digits than its factorization.

22564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

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

The square root of 22564500 is about 4750.2105216506. The cubic root of 22564500 is about 282.5803149615.

The spelling of 22564500 in words is "twenty-two million, five hundred sixty-four thousand, five hundred".