223380 has 72 divisors (see below), whose sum is σ = 727272. Its totient is φ = 55296.

The previous prime is 223367. The next prime is 223381. The reversal of 223380 is 83322.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 171396 = 228^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2²²³³⁸⁰ is an apocalyptic number.

223380 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 223380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363636).

223380 is an abundant number, since it is smaller than the sum of its proper divisors (503892).

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

223380 is a wasteful number, since it uses less digits than its factorization.

223380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223380 is about 472.6309342394. The cubic root of 223380 is about 60.6756953649.

The spelling of 223380 in words is "two hundred twenty-three thousand, three hundred eighty".