22474400 has 72 divisors (see below), whose sum is σ = 59113404. Its totient is φ = 8294400.

The previous prime is 22474399. The next prime is 22474421. The reversal of 22474400 is 447422.

It can be written as a sum of positive squares in 6 ways, for example, as 5400976 + 17073424 = 2324^2 + 4132^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9320 + ... + 11480.

Almost surely, 2^22474400 is an apocalyptic number.

22474400 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 22474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29556702).

22474400 is an abundant number, since it is smaller than the sum of its proper divisors (36639004).

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

22474400 is a wasteful number, since it uses less digits than its factorization.

22474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 22474400 is about 4740.7172453121. The cubic root of 22474400 is about 282.2036990435.

The spelling of 22474400 in words is "twenty-two million, four hundred seventy-four thousand, four hundred".