22254400 has 84 divisors (see below), whose sum is σ = 62614048. Its totient is φ = 7626240.

The previous prime is 22254391. The next prime is 22254403. The reversal of 22254400 is 445222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22254403) 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, 10207 + ... + 12193.

Almost surely, 2^22254400 is an apocalyptic number.

22254400 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 22254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307024).

22254400 is an abundant number, since it is smaller than the sum of its proper divisors (40359648).

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

22254400 is a wasteful number, since it uses less digits than its factorization.

22254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 22254400 is about 4717.4569420399. The cubic root of 22254400 is about 281.2798552669.

Adding to 22254400 its reverse (445222), we get a palindrome (22699622).

The spelling of 22254400 in words is "twenty-two million, two hundred fifty-four thousand, four hundred".