22314431400 has 96 divisors (see below), whose sum is σ = 69339832800. Its totient is φ = 5936313600.

The previous prime is 22314431351. The next prime is 22314431413. The reversal of 22314431400 is 413441322.

It is a super-3 number, since 3×22314431400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208431 + ... + 296769.

It is an arithmetic number, because the mean of its divisors is an integer number (722289925).

Almost surely, 2^22314431400 is an apocalyptic number.

22314431400 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 22314431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34669916400).

22314431400 is an abundant number, since it is smaller than the sum of its proper divisors (47025401400).

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

22314431400 is a wasteful number, since it uses less digits than its factorization.

22314431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88779 (or 88770 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22314431400 its reverse (413441322), we get a palindrome (22727872722).

The spelling of 22314431400 in words is "twenty-two billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred".