223808 has 28 divisors (see below), whose sum is σ = 480060. Its totient is φ = 102912.

The previous prime is 223781. The next prime is 223823. The reversal of 223808 is 808322.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 200704 = 152^2 + 448^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

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, 698 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2²²³⁸⁰⁸ 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 223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240030).

223808 is an abundant number, since it is smaller than the sum of its proper divisors (256252).

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

223808 is a wasteful number, since it uses less digits than its factorization.

223808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 223808 is about 473.0835021431. The cubic root of 223808 is about 60.7144225405.

The spelling of 223808 in words is "two hundred twenty-three thousand, eight hundred eight".