223944 has 64 divisors (see below), whose sum is σ = 675840. Its totient is φ = 60480.

The previous prime is 223939. The next prime is 223963. The reversal of 223944 is 449322.

It is a happy number.

223944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁷ + 9⁵ + 3³ + 4 + 4⁵ .

It is a nialpdrome in base 6, base 8 and base 12.

It is a congruent number.

It is an unprimeable number.

223944 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, 5187 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2²²³⁹⁴⁴ is an apocalyptic number.

223944 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 223944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337920).

223944 is an abundant number, since it is smaller than the sum of its proper divisors (451896).

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

223944 is a wasteful number, since it uses less digits than its factorization.

223944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 223944 is about 473.2272181521. The cubic root of 223944 is about 60.7267180341.

It can be divided in two parts, 22 and 3944, that multiplied together give a palindrome (86768).

The spelling of 223944 in words is "two hundred twenty-three thousand, nine hundred forty-four".