22381800 has 144 divisors (see below), whose sum is σ = 80396640. Its totient is φ = 5045760.

The previous prime is 22381789. The next prime is 22381813. The reversal of 22381800 is 818322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 306564 + ... + 306636.

It is an arithmetic number, because the mean of its divisors is an integer number (558310).

Almost surely, 2^22381800 is an apocalyptic number.

22381800 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 22381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40198320).

22381800 is an abundant number, since it is smaller than the sum of its proper divisors (58014840).

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

22381800 is a wasteful number, since it uses less digits than its factorization.

22381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22381800 is about 4730.9407098377. The cubic root of 22381800 is about 281.8155828600.

The spelling of 22381800 in words is "twenty-two million, three hundred eighty-one thousand, eight hundred".