22450400 has 144 divisors (see below), whose sum is σ = 66245760. Its totient is φ = 7257600.

The previous prime is 22450397. The next prime is 22450423. The reversal of 22450400 is 405422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106295 + ... + 106505.

It is an arithmetic number, because the mean of its divisors is an integer number (460040).

Almost surely, 2^22450400 is an apocalyptic number.

22450400 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 22450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33122880).

22450400 is an abundant number, since it is smaller than the sum of its proper divisors (43795360).

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

22450400 is a wasteful number, since it uses less digits than its factorization.

22450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22450400 is about 4738.1853066338. The cubic root of 22450400 is about 282.1032098782.

Adding to 22450400 its reverse (405422), we get a palindrome (22855822).

It can be divided in two parts, 224 and 50400, that multiplied together give a square (11289600 = 3360²).

The spelling of 22450400 in words is "twenty-two million, four hundred fifty thousand, four hundred".