223334400 has 156 divisors (see below), whose sum is σ = 739417952. Its totient is φ = 59473920.

The previous prime is 223334333. The next prime is 223334401. The reversal of 223334400 is 4433322.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223334401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 306837 + ... + 307563.

Almost surely, 2^223334400 is an apocalyptic number.

223334400 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 223334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369708976).

223334400 is an abundant number, since it is smaller than the sum of its proper divisors (516083552).

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

223334400 is an equidigital number, since it uses as much as digits as its factorization.

223334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 223334400 is about 14944.3768689096. The cubic root of 223334400 is about 606.7156637693.

Adding to 223334400 its reverse (4433322), we get a palindrome (227767722).

The spelling of 223334400 in words is "two hundred twenty-three million, three hundred thirty-four thousand, four hundred".