22185100 has 72 divisors (see below), whose sum is σ = 56433888. Its totient is φ = 7411200.

The previous prime is 22185091. The next prime is 22185101. The reversal of 22185100 is 158122.

It is not an unprimeable number, because it can be changed into a prime (22185101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28314 + ... + 29086.

It is an arithmetic number, because the mean of its divisors is an integer number (783804).

Almost surely, 2^22185100 is an apocalyptic number.

22185100 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 22185100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28216944).

22185100 is an abundant number, since it is smaller than the sum of its proper divisors (34248788).

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

22185100 is a wasteful number, since it uses less digits than its factorization.

22185100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 22185100 is about 4710.1061559162. The cubic root of 22185100 is about 280.9875840396.

The spelling of 22185100 in words is "twenty-two million, one hundred eighty-five thousand, one hundred".