22501200 has 120 divisors (see below), whose sum is σ = 76387968. Its totient is φ = 5642240.

The previous prime is 22501177. The next prime is 22501201. The reversal of 22501200 is 210522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22501201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19849 + ... + 20951.

Almost surely, 2^22501200 is an apocalyptic number.

22501200 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 22501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193984).

22501200 is an abundant number, since it is smaller than the sum of its proper divisors (53886768).

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

22501200 is a wasteful number, since it uses less digits than its factorization.

22501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22501200 is about 4743.5429796725. The cubic root of 22501200 is about 282.3158274339.

Adding to 22501200 its reverse (210522), we get a palindrome (22711722).

The spelling of 22501200 in words is "twenty-two million, five hundred one thousand, two hundred".