223325440 has 72 divisors (see below), whose sum is σ = 576125928. Its totient is φ = 82452480.

The previous prime is 223325429. The next prime is 223325467. The reversal of 223325440 is 44523322.

It can be written as a sum of positive squares in 4 ways, for example, as 33547264 + 189778176 = 5792^2 + 13776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9930 + ... + 23350.

It is an arithmetic number, because the mean of its divisors is an integer number (8001749).

Almost surely, 2^223325440 is an apocalyptic number.

223325440 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 223325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288062964).

223325440 is an abundant number, since it is smaller than the sum of its proper divisors (352800488).

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

223325440 is a wasteful number, since it uses less digits than its factorization.

223325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 223325440 is about 14944.0770875956. The cubic root of 223325440 is about 606.7075500095.

Adding to 223325440 its reverse (44523322), we get a palindrome (267848762).

It can be divided in two parts, 22332 and 5440, that added together give a palindrome (27772).

The spelling of 223325440 in words is "two hundred twenty-three million, three hundred twenty-five thousand, four hundred forty".