22320222232400 has 60 divisors (see below), whose sum is σ = 55473448904700. Its totient is φ = 8620223754240.

The previous prime is 22320222232361. The next prime is 22320222232417. The reversal of 22320222232400 is 423222202322.

It can be written as a sum of positive squares in 6 ways, for example, as 2446921861696 + 19873300370704 = 1564264^2 + 4457948^2 .

It is a super-3 number, since 3×22320222232400³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22320222232400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962066945 + ... + 962090144.

It is an arithmetic number, because the mean of its divisors is an integer number (924557481745).

Almost surely, 2^{22320222232400} is an apocalyptic number.

22320222232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320222232400 is an abundant number, since it is smaller than the sum of its proper divisors (33153226672300).

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

22320222232400 is a wasteful number, since it uses less digits than its factorization.

22320222232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924157136 (or 1924157125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 22320222232400 its reverse (423222202322), we get a palindrome (22743444434722).

The spelling of 22320222232400 in words is "twenty-two trillion, three hundred twenty billion, two hundred twenty-two million, two hundred thirty-two thousand, four hundred".