223552 has 28 divisors (see below), whose sum is σ = 508000. Its totient is φ = 95616.

The previous prime is 223549. The next prime is 223577. The reversal of 223552 is 255322.

223552 is digitally balanced in base 3, 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 697.

2²²³⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254000).

223552 is an abundant number, since it is smaller than the sum of its proper divisors (284448).

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

223552 is an equidigital number, since it uses as much as digits as its factorization.

223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its digits is 600, while the sum is 19.

The square root of 223552 is about 472.8128593852. The cubic root of 223552 is about 60.6912645626.

Adding to 223552 its reverse (255322), we get a palindrome (478874).

The spelling of 223552 in words is "two hundred twenty-three thousand, five hundred fifty-two".