22545200 has 60 divisors (see below), whose sum is σ = 54661680. Its totient is φ = 8935680.

The previous prime is 22545199. The next prime is 22545217. The reversal of 22545200 is 254522.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 62621 + ... + 62979.

It is an arithmetic number, because the mean of its divisors is an integer number (911028).

Almost surely, 2^22545200 is an apocalyptic number.

22545200 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 22545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27330840).

22545200 is an abundant number, since it is smaller than the sum of its proper divisors (32116480).

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

22545200 is a wasteful number, since it uses less digits than its factorization.

22545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22545200 is about 4748.1785981574. The cubic root of 22545200 is about 282.4997258984.

Adding to 22545200 its reverse (254522), we get a palindrome (22799722).

The spelling of 22545200 in words is "twenty-two million, five hundred forty-five thousand, two hundred".