223321120 has 96 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 80701440.

The previous prime is 223321103. The next prime is 223321121. The reversal of 223321120 is 21123322.

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

It is a junction number, because it is equal to n+sod(n) for n = 223321094 and 223321103.

It is not an unprimeable number, because it can be changed into a prime (223321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392196 + ... + 392764.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^223321120 is an apocalyptic number.

223321120 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 223321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

223321120 is an abundant number, since it is smaller than the sum of its proper divisors (355835360).

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

223321120 is a wasteful number, since it uses less digits than its factorization.

223321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223321120 is about 14943.9325480276. The cubic root of 223321120 is about 606.7036379406.

Adding to 223321120 its reverse (21123322), we get a palindrome (244444442).

The spelling of 223321120 in words is "two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".