223331320 has 64 divisors (see below), whose sum is σ = 547236000. Its totient is φ = 81704448.

The previous prime is 223331287. The next prime is 223331323. The reversal of 223331320 is 23133322.

It is a happy number.

223331320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223331320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223331323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16974 + ... + 27106.

Almost surely, 2^223331320 is an apocalyptic number.

223331320 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 223331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273618000).

223331320 is an abundant number, since it is smaller than the sum of its proper divisors (323904680).

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

223331320 is a wasteful number, since it uses less digits than its factorization.

223331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 223331320 is about 14944.2738197612. The cubic root of 223331320 is about 606.7128746889.

Adding to 223331320 its reverse (23133322), we get a palindrome (246464642).

It can be divided in two parts, 22333 and 1320, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 223331320 in words is "two hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty".