223352320 has 80 divisors (see below), whose sum is σ = 548246160. Its totient is φ = 87220224.

The previous prime is 223352299. The next prime is 223352321. The reversal of 223352320 is 23253322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 223352291 and 223352300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223352321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109066 + ... + 111094.

It is an arithmetic number, because the mean of its divisors is an integer number (6853077).

Almost surely, 2^223352320 is an apocalyptic number.

223352320 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 223352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274123080).

223352320 is an abundant number, since it is smaller than the sum of its proper divisors (324893840).

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

223352320 is an equidigital number, since it uses as much as digits as its factorization.

223352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 223352320 is about 14944.9764134976. The cubic root of 223352320 is about 606.7318906380.

The spelling of 223352320 in words is "two hundred twenty-three million, three hundred fifty-two thousand, three hundred twenty".