22551200 has 72 divisors (see below), whose sum is σ = 62933472. Its totient is φ = 7729920.

The previous prime is 22551161. The next prime is 22551203. The reversal of 22551200 is 215522.

It is not an unprimeable number, because it can be changed into a prime (22551203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3587 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (874076).

Almost surely, 2^22551200 is an apocalyptic number.

22551200 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 22551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466736).

22551200 is an abundant number, since it is smaller than the sum of its proper divisors (40382272).

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

22551200 is a wasteful number, since it uses less digits than its factorization.

22551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 22551200 is about 4748.8103773472. The cubic root of 22551200 is about 282.5247844181.

Adding to 22551200 its reverse (215522), we get a palindrome (22766722).

The spelling of 22551200 in words is "twenty-two million, five hundred fifty-one thousand, two hundred".