22554400 has 108 divisors (see below), whose sum is σ = 60781266. Its totient is φ = 8166400.

The previous prime is 22554397. The next prime is 22554409. The reversal of 22554400 is 445522.

It can be written as a sum of positive squares in 3 ways, for example, as 13337104 + 9217296 = 3652^2 + 3036^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22554409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96684 + ... + 96916.

Almost surely, 2^22554400 is an apocalyptic number.

22554400 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 22554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390633).

22554400 is an abundant number, since it is smaller than the sum of its proper divisors (38226866).

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

22554400 is a wasteful number, since it uses less digits than its factorization.

22554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 22554400 is about 4749.1472918830. The cubic root of 22554400 is about 282.5381471445.

Adding to 22554400 its reverse (445522), we get a palindrome (22999922).

The spelling of 22554400 in words is "twenty-two million, five hundred fifty-four thousand, four hundred".