22202400 has 216 divisors, whose sum is σ = 81651024. Its totient is φ = 5196800.

The previous prime is 22202387. The next prime is 22202407. The reversal of 22202400 is 420222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (22202407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 765586 + ... + 765614.

It is an arithmetic number, because the mean of its divisors is an integer number (378014).

Almost surely, 2^22202400 is an apocalyptic number.

22202400 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 22202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

22202400 is an abundant number, since it is smaller than the sum of its proper divisors (59448624).

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

22202400 is a wasteful number, since it uses less digits than its factorization.

22202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22202400 is about 4711.9422746889. The cubic root of 22202400 is about 281.0606033512.

Adding to 22202400 its reverse (420222), we get a palindrome (22622622).

The spelling of 22202400 in words is "twenty-two million, two hundred two thousand, four hundred".