22845600 has 216 divisors, whose sum is σ = 85307040. Its totient is φ = 5736960.

The previous prime is 22845583. The next prime is 22845607. The reversal of 22845600 is 654822.

22845600 is a `hidden beast` number, since 22 + 84 + 560 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22845607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136717 + ... + 136883.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^22845600 is an apocalyptic number.

22845600 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 22845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

22845600 is an abundant number, since it is smaller than the sum of its proper divisors (62461440).

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

22845600 is a wasteful number, since it uses less digits than its factorization.

22845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22845600 is about 4779.7071039971. The cubic root of 22845600 is about 283.7489019086.

The spelling of 22845600 in words is "twenty-two million, eight hundred forty-five thousand, six hundred".