22641400 has 48 divisors (see below), whose sum is σ = 53344800. Its totient is φ = 8935680.

The previous prime is 22641397. The next prime is 22641419. The reversal of 22641400 is 414622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15084 + ... + 16516.

It is an arithmetic number, because the mean of its divisors is an integer number (1111350).

Almost surely, 2^22641400 is an apocalyptic number.

22641400 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 22641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26672400).

22641400 is an abundant number, since it is smaller than the sum of its proper divisors (30703400).

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

22641400 is a wasteful number, since it uses less digits than its factorization.

22641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22641400 is about 4758.2980150470. The cubic root of 22641400 is about 282.9009629858.

The spelling of 22641400 in words is "twenty-two million, six hundred forty-one thousand, four hundred".