233330020 has 96 divisors (see below), whose sum is σ = 617250816. Its totient is φ = 71971200.

The previous prime is 233330017. The next prime is 233330021. The reversal of 233330020 is 20033332.

233330020 = T₄₈₉ + T₄₉₀ + ... + T₁₁₄₈.

It is a happy number.

233330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233329976 and 233330003.

It is not an unprimeable number, because it can be changed into a prime (233330021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157885 + ... + 159355.

It is an arithmetic number, because the mean of its divisors is an integer number (6429696).

Almost surely, 2^233330020 is an apocalyptic number.

233330020 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 233330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308625408).

233330020 is an abundant number, since it is smaller than the sum of its proper divisors (383920796).

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

233330020 is a wasteful number, since it uses less digits than its factorization.

233330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 233330020 is about 15275.1438618430. The cubic root of 233330020 is about 615.6353361144.

Adding to 233330020 its reverse (20033332), we get a palindrome (253363352).

The spelling of 233330020 in words is "two hundred thirty-three million, three hundred thirty thousand, twenty".