223368320 has 128 divisors (see below), whose sum is σ = 619539840. Its totient is φ = 75423744.

The previous prime is 223368319. The next prime is 223368329. The reversal of 223368320 is 23863322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (223368329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326699 + ... + 327381.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2^223368320 is an apocalyptic number.

223368320 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 223368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309769920).

223368320 is an abundant number, since it is smaller than the sum of its proper divisors (396171520).

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

223368320 is an equidigital number, since it uses as much as digits as its factorization.

223368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 223368320 is about 14945.5117008418. The cubic root of 223368320 is about 606.7463781801.

The spelling of 223368320 in words is "two hundred twenty-three million, three hundred sixty-eight thousand, three hundred twenty".