223820 has 36 divisors (see below), whose sum is σ = 512064. Its totient is φ = 82080.

The previous prime is 223781. The next prime is 223823. The reversal of 223820 is 28322.

223820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223820.

It is not an unprimeable number, because it can be changed into a prime (223823) by changing a digit.

223820 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 11 ways as a sum of consecutive naturals, for example, 7205 + ... + 7235.

It is an arithmetic number, because the mean of its divisors is an integer number (14224).

2²²³⁸²⁰ is an apocalyptic number.

223820 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 223820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032).

223820 is an abundant number, since it is smaller than the sum of its proper divisors (288244).

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

223820 is a wasteful number, since it uses less digits than its factorization.

223820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 223820 is about 473.0961847236. The cubic root of 223820 is about 60.7155076373.

The spelling of 223820 in words is "two hundred twenty-three thousand, eight hundred twenty".