22313442400 has 72 divisors (see below), whose sum is σ = 54675719280. Its totient is φ = 8892111360.

The previous prime is 22313442383. The next prime is 22313442443. The reversal of 22313442400 is 424431322.

It is a happy number.

It is a super-3 number, since 3×22313442400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163357 + ... + 267043.

It is an arithmetic number, because the mean of its divisors is an integer number (759384990).

Almost surely, 2^22313442400 is an apocalyptic number.

22313442400 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 22313442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27337859640).

22313442400 is an abundant number, since it is smaller than the sum of its proper divisors (32362276880).

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

22313442400 is a wasteful number, since it uses less digits than its factorization.

22313442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103976 (or 103963 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22313442400 its reverse (424431322), we get a palindrome (22737873722).

The spelling of 22313442400 in words is "twenty-two billion, three hundred thirteen million, four hundred forty-two thousand, four hundred".