233211020 has 48 divisors (see below), whose sum is σ = 565282368. Its totient is φ = 79161600.

The previous prime is 233211001. The next prime is 233211029. The reversal of 233211020 is 20112332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 233210986 and 233211004.

It is not an unprimeable number, because it can be changed into a prime (233211029) 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, 5894 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (11776716).

Almost surely, 2^233211020 is an apocalyptic number.

233211020 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 233211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282641184).

233211020 is an abundant number, since it is smaller than the sum of its proper divisors (332071348).

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

233211020 is a wasteful number, since it uses less digits than its factorization.

233211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16610 (or 16608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 233211020 is about 15271.2481480722. The cubic root of 233211020 is about 615.5306588237.

Adding to 233211020 its reverse (20112332), we get a palindrome (253323352).

The spelling of 233211020 in words is "two hundred thirty-three million, two hundred eleven thousand, twenty".