22406200400 has 60 divisors (see below), whose sum is σ = 55687163100. Its totient is φ = 8653424640.

The previous prime is 22406200391. The next prime is 22406200409. The reversal of 22406200400 is 400260422.

It is an interprime number because it is at equal distance from previous prime (22406200391) and next prime (22406200409).

It can be written as a sum of positive squares in 6 ways, for example, as 622801936 + 21783398464 = 24956^2 + 147592^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954185 + ... + 977384.

It is an arithmetic number, because the mean of its divisors is an integer number (928119385).

Almost surely, 2^22406200400 is an apocalyptic number.

22406200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22406200400 is an abundant number, since it is smaller than the sum of its proper divisors (33280962700).

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

22406200400 is a wasteful number, since it uses less digits than its factorization.

22406200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931616 (or 1931605 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22406200400 its reverse (400260422), we get a palindrome (22806460822).

The spelling of 22406200400 in words is "twenty-two billion, four hundred six million, two hundred thousand, four hundred".