223938 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 60480.

The previous prime is 223921. The next prime is 223939. The reversal of 223938 is 839322.

223938 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 (27).

It is a Curzon number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (223939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7708 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2²²³⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

223938 is an abundant number, since it is smaller than the sum of its proper divisors (380862).

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

223938 is a wasteful number, since it uses less digits than its factorization.

223938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 223938 is about 473.2208786603. The cubic root of 223938 is about 60.7261756908.

The spelling of 223938 in words is "two hundred twenty-three thousand, nine hundred thirty-eight".