22505700 has 108 divisors (see below), whose sum is σ = 75797232. Its totient is φ = 5140800.

The previous prime is 22505689. The next prime is 22505723. The reversal of 22505700 is 750522.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 13935 + ... + 15465.

Almost surely, 2^22505700 is an apocalyptic number.

22505700 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 22505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37898616).

22505700 is an abundant number, since it is smaller than the sum of its proper divisors (53291532).

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

22505700 is a wasteful number, since it uses less digits than its factorization.

22505700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 22505700 is about 4744.0172849601. The cubic root of 22505700 is about 282.3346462309.

The spelling of 22505700 in words is "twenty-two million, five hundred five thousand, seven hundred".