233200020 has 96 divisors (see below), whose sum is σ = 679633920. Its totient is φ = 59673600.

The previous prime is 233200007. The next prime is 233200031. The reversal of 233200020 is 20002332.

233200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 233199969 and 233200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387720 + ... + 388320.

It is an arithmetic number, because the mean of its divisors is an integer number (7079520).

Almost surely, 2^233200020 is an apocalyptic number.

233200020 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 233200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339816960).

233200020 is an abundant number, since it is smaller than the sum of its proper divisors (446433900).

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

233200020 is a wasteful number, since it uses less digits than its factorization.

233200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233200020 is about 15270.8879898976. The cubic root of 233200020 is about 615.5209809739.

Adding to 233200020 its reverse (20002332), we get a palindrome (253202352).

The spelling of 233200020 in words is "two hundred thirty-three million, two hundred thousand, twenty".