223360000 has 110 divisors (see below), whose sum is σ = 559547450. Its totient is φ = 89088000.

The previous prime is 223359971. The next prime is 223360003. The reversal of 223360000 is 63322.

It can be written as a sum of positive squares in 5 ways, for example, as 61968384 + 161391616 = 7872^2 + 12704^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223360003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639826 + ... + 640174.

It is an arithmetic number, because the mean of its divisors is an integer number (5086795).

Almost surely, 2^223360000 is an apocalyptic number.

223360000 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 223360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279773725).

223360000 is an abundant number, since it is smaller than the sum of its proper divisors (336187450).

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

223360000 is an frugal number, since it uses more digits than its factorization.

223360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 223360000 is about 14945.2333538155. The cubic root of 223360000 is about 606.7388447445.

The spelling of 223360000 in words is "two hundred twenty-three million, three hundred sixty thousand".