22821900 has 72 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 6027840.

The previous prime is 22821847. The next prime is 22821901. The reversal of 22821900 is 912822.

It is a super-2 number, since 2×22821900² = 1041678239220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22821901) 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 23 ways as a sum of consecutive naturals, for example, 37801 + ... + 38399.

Almost surely, 2^22821900 is an apocalyptic number.

22821900 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 22821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

22821900 is an abundant number, since it is smaller than the sum of its proper divisors (43840500).

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

22821900 is a wasteful number, since it uses less digits than its factorization.

22821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22821900 is about 4777.2272292618. The cubic root of 22821900 is about 283.6507476941.

The spelling of 22821900 in words is "twenty-two million, eight hundred twenty-one thousand, nine hundred".