22414401100 has 288 divisors, whose sum is σ = 61545505280. Its totient is φ = 6897623040.

The previous prime is 22414401083. The next prime is 22414401103. The reversal of 22414401100 is 110441422.

It is not an unprimeable number, because it can be changed into a prime (22414401103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 59140711 + ... + 59141089.

Almost surely, 2^22414401100 is an apocalyptic number.

22414401100 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 22414401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772752640).

22414401100 is an abundant number, since it is smaller than the sum of its proper divisors (39131104180).

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

22414401100 is a wasteful number, since it uses less digits than its factorization.

22414401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22414401100 its reverse (110441422), we get a palindrome (22524842522).

The spelling of 22414401100 in words is "twenty-two billion, four hundred fourteen million, four hundred one thousand, one hundred".