22224400 has 60 divisors (see below), whose sum is σ = 58259664. Its totient is φ = 8080000.

The previous prime is 22224361. The next prime is 22224401. The reversal of 22224400 is 442222.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22224401) 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, 1875 + ... + 6925.

Almost surely, 2^22224400 is an apocalyptic number.

22224400 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 22224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29129832).

22224400 is an abundant number, since it is smaller than the sum of its proper divisors (36035264).

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

22224400 is a wasteful number, since it uses less digits than its factorization.

22224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22224400 is about 4714.2761904666. The cubic root of 22224400 is about 281.1534055118.

Adding to 22224400 its reverse (442222), we get a palindrome (22666622).

It can be divided in two parts, 22 and 224400, that added together give a palindrome (224422).

The spelling of 22224400 in words is "twenty-two million, two hundred twenty-four thousand, four hundred".