22202100 has 90 divisors (see below), whose sum is σ = 71996694. Its totient is φ = 5918400.

The previous prime is 22202093. The next prime is 22202111. The reversal of 22202100 is 120222.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 21734244 = 684^2 + 4662^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6730 + ... + 9470.

Almost surely, 2^22202100 is an apocalyptic number.

22202100 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 22202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998347).

22202100 is an abundant number, since it is smaller than the sum of its proper divisors (49794594).

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

22202100 is a wasteful number, since it uses less digits than its factorization.

22202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22202100 is about 4711.9104405750. The cubic root of 22202100 is about 281.0593374436.

Adding to 22202100 its reverse (120222), we get a palindrome (22322322).

The spelling of 22202100 in words is "twenty-two million, two hundred two thousand, one hundred".