233131222000 has 160 divisors (see below), whose sum is σ = 582661707264. Its totient is φ = 90125568000.

The previous prime is 233131221997. The next prime is 233131222003. The reversal of 233131222000 is 222131332.

233131222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233131221997) and next prime (233131222003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58091994 + ... + 58096006.

Almost surely, 2^233131222000 is an apocalyptic number.

233131222000 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 233131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291330853632).

233131222000 is an abundant number, since it is smaller than the sum of its proper divisors (349530485264).

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

233131222000 is a wasteful number, since it uses less digits than its factorization.

233131222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 233131222000 its reverse (222131332), we get a palindrome (233353353332).

The spelling of 233131222000 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred twenty-two thousand".