223203122400 has 144 divisors (see below), whose sum is σ = 726909818544. Its totient is φ = 59489402880.

The previous prime is 223203122299. The next prime is 223203122419. The reversal of 223203122400 is 4221302322.

It is a super-3 number, since 3×223203122400³ (a number of 35 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4711632 + ... + 4758768.

It is an arithmetic number, because the mean of its divisors is an integer number (5047984851).

Almost surely, 2^223203122400 is an apocalyptic number.

223203122400 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 223203122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363454909272).

223203122400 is an abundant number, since it is smaller than the sum of its proper divisors (503706696144).

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

223203122400 is a wasteful number, since it uses less digits than its factorization.

223203122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49133 (or 49120 counting only the distinct ones).

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

Adding to 223203122400 its reverse (4221302322), we get a palindrome (227424424722).

The spelling of 223203122400 in words is "two hundred twenty-three billion, two hundred three million, one hundred twenty-two thousand, four hundred".