223331504400 has 120 divisors (see below), whose sum is σ = 794894763360. Its totient is φ = 59555064960.

The previous prime is 223331504381. The next prime is 223331504401. The reversal of 223331504400 is 4405133322.

223331504400 is a `hidden beast` number, since 223 + 3 + 31 + 5 + 0 + 4 + 400 = 666.

223331504400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223331504401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10328622 + ... + 10350221.

It is an arithmetic number, because the mean of its divisors is an integer number (6624123028).

Almost surely, 2^223331504400 is an apocalyptic number.

223331504400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223331504400 is an abundant number, since it is smaller than the sum of its proper divisors (571563258960).

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

223331504400 is a wasteful number, since it uses less digits than its factorization.

223331504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20678870 (or 20678853 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 223331504400 its reverse (4405133322), we get a palindrome (227736637722).

The spelling of 223331504400 in words is "two hundred twenty-three billion, three hundred thirty-one million, five hundred four thousand, four hundred".