22212100 has 36 divisors (see below), whose sum is σ = 48552448. Its totient is φ = 8820000.

The previous prime is 22212097. The next prime is 22212101. The reversal of 22212100 is 121222.

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

It is not an unprimeable number, because it can be changed into a prime (22212101) 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 11 ways as a sum of consecutive naturals, for example, 14365 + ... + 15835.

Almost surely, 2^22212100 is an apocalyptic number.

22212100 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 22212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276224).

22212100 is an abundant number, since it is smaller than the sum of its proper divisors (26340348).

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

22212100 is a wasteful number, since it uses less digits than its factorization.

22212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22212100 is about 4712.9714618275. The cubic root of 22212100 is about 281.1015282200.

Adding to 22212100 its reverse (121222), we get a palindrome (22333322).

The spelling of 22212100 in words is "twenty-two million, two hundred twelve thousand, one hundred".