22220144100 has 576 divisors, whose sum is σ = 94313963520. Its totient is φ = 4344883200.

The previous prime is 22220144041. The next prime is 22220144101. The reversal of 22220144100 is 144102222.

22220144100 is a `hidden beast` number, since 2 + 2 + 220 + 1 + 441 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22220144101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3531157 + ... + 3537443.

It is an arithmetic number, because the mean of its divisors is an integer number (163739520).

Almost surely, 2^22220144100 is an apocalyptic number.

22220144100 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 22220144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47156981760).

22220144100 is an abundant number, since it is smaller than the sum of its proper divisors (72093819420).

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

22220144100 is a wasteful number, since it uses less digits than its factorization.

22220144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22220144100 its reverse (144102222), we get a palindrome (22364246322).

The spelling of 22220144100 in words is "twenty-two billion, two hundred twenty million, one hundred forty-four thousand, one hundred".