22855200 has 144 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 5969920.

The previous prime is 22855187. The next prime is 22855213. The reversal of 22855200 is 255822.

It is an interprime number because it is at equal distance from previous prime (22855187) and next prime (22855213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213547 + ... + 213653.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^22855200 is an apocalyptic number.

22855200 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 22855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

22855200 is an abundant number, since it is smaller than the sum of its proper divisors (53077440).

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

22855200 is a wasteful number, since it uses less digits than its factorization.

22855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 22855200 is about 4780.7112441560. The cubic root of 22855200 is about 283.7886412602.

The spelling of 22855200 in words is "twenty-two million, eight hundred fifty-five thousand, two hundred".