22243400400 has 240 divisors, whose sum is σ = 78184745856. Its totient is φ = 5371791360.

The previous prime is 22243400393. The next prime is 22243400447. The reversal of 22243400400 is 400434222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22243400400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 813349 + ... + 840251.

Almost surely, 2^22243400400 is an apocalyptic number.

22243400400 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 22243400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39092372928).

22243400400 is an abundant number, since it is smaller than the sum of its proper divisors (55941345456).

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

22243400400 is a wasteful number, since it uses less digits than its factorization.

22243400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26990 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22243400400 its reverse (400434222), we get a palindrome (22643834622).

The spelling of 22243400400 in words is "twenty-two billion, two hundred forty-three million, four hundred thousand, four hundred".