223285344 has 192 divisors, whose sum is σ = 658409472. Its totient is φ = 65945600.

The previous prime is 223285289. The next prime is 223285379. The reversal of 223285344 is 443582322.

It is a super-3 number, since 3×223285344³ (a number of 26 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144829 + ... + 3144899.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2^223285344 is an apocalyptic number.

223285344 is a gapful number since it is divisible by the number (24) 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 223285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329204736).

223285344 is an abundant number, since it is smaller than the sum of its proper divisors (435124128).

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

223285344 is a wasteful number, since it uses less digits than its factorization.

223285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 223285344 is about 14942.7354925395. The cubic root of 223285344 is about 606.6712382755.

It can be divided in two parts, 22328 and 5344, that added together give a palindrome (27672).

The spelling of 223285344 in words is "two hundred twenty-three million, two hundred eighty-five thousand, three hundred forty-four".