22485200 has 60 divisors (see below), whose sum is σ = 54892320. Its totient is φ = 8849280.

The previous prime is 22485193. The next prime is 22485251. The reversal of 22485200 is 258422.

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 11 ways as a sum of consecutive naturals, for example, 26381 + ... + 27219.

It is an arithmetic number, because the mean of its divisors is an integer number (914872).

Almost surely, 2^22485200 is an apocalyptic number.

22485200 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 22485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446160).

22485200 is an abundant number, since it is smaller than the sum of its proper divisors (32407120).

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

22485200 is a wasteful number, since it uses less digits than its factorization.

22485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 22485200 is about 4741.8561766464. The cubic root of 22485200 is about 282.2488958286.

The spelling of 22485200 in words is "twenty-two million, four hundred eighty-five thousand, two hundred".