223848320 has 64 divisors (see below), whose sum is σ = 540591840. Its totient is φ = 88627200.

The previous prime is 223848319. The next prime is 223848337. The reversal of 223848320 is 23848322.

223848320 is digitally balanced in base 2, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62909 + ... + 66371.

Almost surely, 2^223848320 is an apocalyptic number.

223848320 is a gapful number since it is divisible by the number (20) 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 223848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270295920).

223848320 is an abundant number, since it is smaller than the sum of its proper divisors (316743520).

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

223848320 is a wasteful number, since it uses less digits than its factorization.

223848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 223848320 is about 14961.5614158416. The cubic root of 223848320 is about 607.1806831203.

The spelling of 223848320 in words is "two hundred twenty-three million, eight hundred forty-eight thousand, three hundred twenty".