223344 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 66240.

The previous prime is 223339. The next prime is 223361. The reversal of 223344 is 443322.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

223344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4729 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²²³³⁴⁴ is an apocalyptic number.

223344 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 223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

223344 is an abundant number, since it is smaller than the sum of its proper divisors (490896).

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

223344 is a wasteful number, since it uses less digits than its factorization.

223344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 223344 is about 472.5928480204. The cubic root of 223344 is about 60.6724356843.

Adding to 223344 its reverse (443322), we get a palindrome (666666).

The spelling of 223344 in words is "two hundred twenty-three thousand, three hundred forty-four", and thus it is an iban number.