22314232400 has 30 divisors (see below), whose sum is σ = 53609944302. Its totient is φ = 8925692800.

The previous prime is 22314232349. The next prime is 22314232417. The reversal of 22314232400 is 423241322.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 22311994384 = 1496^2 + 149372^2 .

It is a super-3 number, since 3×22314232400³ (a number of 32 digits) contains 333 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27892391 + ... + 27893190.

Almost surely, 2^22314232400 is an apocalyptic number.

22314232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314232400 is an abundant number, since it is smaller than the sum of its proper divisors (31295711902).

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

22314232400 is a wasteful number, since it uses less digits than its factorization.

22314232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55785599 (or 55785588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 22314232400 its reverse (423241322), we get a palindrome (22737473722).

The spelling of 22314232400 in words is "twenty-two billion, three hundred fourteen million, two hundred thirty-two thousand, four hundred".