22404100 has 18 divisors (see below), whose sum is σ = 48617114. Its totient is φ = 8961600.

The previous prime is 22404091. The next prime is 22404119. The reversal of 22404100 is 140422.

It can be written as a sum of positive squares in 3 ways, for example, as 948676 + 21455424 = 974^2 + 4632^2 .

It is a super-3 number, since 3×22404100³ (a number of 23 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 111921 + ... + 112120.

Almost surely, 2^22404100 is an apocalyptic number.

22404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22404100 is an abundant number, since it is smaller than the sum of its proper divisors (26213014).

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

22404100 is a wasteful number, since it uses less digits than its factorization.

22404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224055 (or 224048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 22404100 is about 4733.2969482170. The cubic root of 22404100 is about 281.9091469981.

Adding to 22404100 its reverse (140422), we get a palindrome (22544522).

The spelling of 22404100 in words is "twenty-two million, four hundred four thousand, one hundred".