22501800 has 144 divisors (see below), whose sum is σ = 78536640. Its totient is φ = 5987520.

The previous prime is 22501799. The next prime is 22501837. The reversal of 22501800 is 810522.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 48369 + ... + 48831.

Almost surely, 2^22501800 is an apocalyptic number.

22501800 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 22501800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39268320).

22501800 is an abundant number, since it is smaller than the sum of its proper divisors (56034840).

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

22501800 is a wasteful number, since it uses less digits than its factorization.

22501800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 22501800 is about 4743.6062231176. The cubic root of 22501800 is about 282.3183367518.

The spelling of 22501800 in words is "twenty-two million, five hundred one thousand, eight hundred".