22134400 has 48 divisors (see below), whose sum is σ = 54686790. Its totient is φ = 8852480.

The previous prime is 22134377. The next prime is 22134407. The reversal of 22134400 is 443122.

It can be written as a sum of positive squares in 3 ways, for example, as 17774656 + 4359744 = 4216^2 + 2088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259 + ... + 6658.

Almost surely, 2^22134400 is an apocalyptic number.

22134400 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 22134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343395).

22134400 is an abundant number, since it is smaller than the sum of its proper divisors (32552390).

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

22134400 is an equidigital number, since it uses as much as digits as its factorization.

22134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22134400 is about 4704.7210331751. The cubic root of 22134400 is about 280.7733721500.

Adding to 22134400 its reverse (443122), we get a palindrome (22577522).

The spelling of 22134400 in words is "twenty-two million, one hundred thirty-four thousand, four hundred".