22331240400 has 720 divisors, whose sum is σ = 87240041280. Its totient is φ = 4864204800.

The previous prime is 22331240389. The next prime is 22331240411. The reversal of 22331240400 is 404213322.

It is an interprime number because it is at equal distance from previous prime (22331240389) and next prime (22331240411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142237122 + ... + 142237278.

It is an arithmetic number, because the mean of its divisors is an integer number (121166724).

Almost surely, 2^22331240400 is an apocalyptic number.

22331240400 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 22331240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43620020640).

22331240400 is an abundant number, since it is smaller than the sum of its proper divisors (64908800880).

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

22331240400 is a wasteful number, since it uses less digits than its factorization.

22331240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22331240400 its reverse (404213322), we get a palindrome (22735453722).

The spelling of 22331240400 in words is "twenty-two billion, three hundred thirty-one million, two hundred forty thousand, four hundred".