22516400 has 60 divisors (see below), whose sum is σ = 54569424. Its totient is φ = 8928000.

The previous prime is 22516399. The next prime is 22516409. The reversal of 22516400 is 461522.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22516409) 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, 72245 + ... + 72555.

Almost surely, 2^22516400 is an apocalyptic number.

22516400 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 22516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27284712).

22516400 is an abundant number, since it is smaller than the sum of its proper divisors (32053024).

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

22516400 is a wasteful number, since it uses less digits than its factorization.

22516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22516400 is about 4745.1448871452. The cubic root of 22516400 is about 282.3793830765.

Adding to 22516400 its reverse (461522), we get a palindrome (22977922).

The spelling of 22516400 in words is "twenty-two million, five hundred sixteen thousand, four hundred".