22541200 has 120 divisors (see below), whose sum is σ = 60888960. Its totient is φ = 7948800.

The previous prime is 22541191. The next prime is 22541203. The reversal of 22541200 is 214522.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22541203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206746 + ... + 206854.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^22541200 is an apocalyptic number.

22541200 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 22541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444480).

22541200 is an abundant number, since it is smaller than the sum of its proper divisors (38347760).

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

22541200 is a wasteful number, since it uses less digits than its factorization.

22541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 22541200 is about 4747.7573653252. The cubic root of 22541200 is about 282.4830177486.

Adding to 22541200 its reverse (214522), we get a palindrome (22755722).

The spelling of 22541200 in words is "twenty-two million, five hundred forty-one thousand, two hundred".