233322120 has 320 divisors, whose sum is σ = 853079040. Its totient is φ = 57024000.

The previous prime is 233322107. The next prime is 233322137. The reversal of 233322120 is 21223332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233322093 and 233322102.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2310070 + ... + 2310170.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872).

Almost surely, 2^233322120 is an apocalyptic number.

233322120 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 233322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426539520).

233322120 is an abundant number, since it is smaller than the sum of its proper divisors (619756920).

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

233322120 is a wasteful number, since it uses less digits than its factorization.

233322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233322120 is about 15274.8852696182. The cubic root of 233322120 is about 615.6283880528.

Adding to 233322120 its reverse (21223332), we get a palindrome (254545452).

It can be divided in two parts, 23332 and 2120, that added together give a palindrome (25452).

The spelling of 233322120 in words is "two hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty".