233010001220 has 72 divisors (see below), whose sum is σ = 520097283720. Its totient is φ = 87670865920.

The previous prime is 233010001219. The next prime is 233010001223. The reversal of 233010001220 is 22100010332.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7557868096 + 225452133124 = 86936^2 + 474818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233010001195 and 233010001204.

It is not an unprimeable number, because it can be changed into a prime (233010001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10907750 + ... + 10929090.

It is an arithmetic number, because the mean of its divisors is an integer number (7223573385).

Almost surely, 2^233010001220 is an apocalyptic number.

233010001220 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 233010001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048641860).

233010001220 is an abundant number, since it is smaller than the sum of its proper divisors (287087282500).

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

233010001220 is a wasteful number, since it uses less digits than its factorization.

233010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23273 (or 23254 counting only the distinct ones).

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

Adding to 233010001220 its reverse (22100010332), we get a palindrome (255110011552).

The spelling of 233010001220 in words is "two hundred thirty-three billion, ten million, one thousand, two hundred twenty".