22950800 has 60 divisors (see below), whose sum is σ = 55618836. Its totient is φ = 9100800.

The previous prime is 22950793. The next prime is 22950827. The reversal of 22950800 is 805922.

It can be written as a sum of positive squares in 6 ways, for example, as 10784656 + 12166144 = 3284^2 + 3488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22950800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72242 + ... + 72558.

Almost surely, 2^22950800 is an apocalyptic number.

22950800 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 22950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27809418).

22950800 is an abundant number, since it is smaller than the sum of its proper divisors (32668036).

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

22950800 is a wasteful number, since it uses less digits than its factorization.

22950800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 22950800 is about 4790.6993226459. The cubic root of 22950800 is about 284.1837731418.

The spelling of 22950800 in words is "twenty-two million, nine hundred fifty thousand, eight hundred".