22004100 has 108 divisors (see below), whose sum is σ = 72037056. Its totient is φ = 5607360.

The previous prime is 22004057. The next prime is 22004111. The reversal of 22004100 is 140022.

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

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 35 ways as a sum of consecutive naturals, for example, 20169 + ... + 21231.

Almost surely, 2^22004100 is an apocalyptic number.

22004100 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 22004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

22004100 is an abundant number, since it is smaller than the sum of its proper divisors (50032956).

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

22004100 is a wasteful number, since it uses less digits than its factorization.

22004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

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

The square root of 22004100 is about 4690.8528009308. The cubic root of 22004100 is about 280.2213385923.

Adding to 22004100 its reverse (140022), we get a palindrome (22144122).

The spelling of 22004100 in words is "twenty-two million, four thousand, one hundred".