22032100 has 36 divisors (see below), whose sum is σ = 48723444. Its totient is φ = 8644480.

The previous prime is 22032097. The next prime is 22032121. The reversal of 22032100 is 123022.

It can be written as a sum of positive squares in 6 ways, for example, as 54756 + 21977344 = 234^2 + 4688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 3222 + ... + 7378.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 2^22032100 is an apocalyptic number.

22032100 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 22032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361722).

22032100 is an abundant number, since it is smaller than the sum of its proper divisors (26691344).

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

22032100 is a wasteful number, since it uses less digits than its factorization.

22032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22032100 is about 4693.8363840253. The cubic root of 22032100 is about 280.3401478409.

Adding to 22032100 its reverse (123022), we get a palindrome (22155122).

The spelling of 22032100 in words is "twenty-two million, thirty-two thousand, one hundred".