233223231314000 has 160 divisors (see below), whose sum is σ = 569724842419200. Its totient is φ = 92335724736000.

The previous prime is 233223231313993. The next prime is 233223231314027. The reversal of 233223231314000 is 413132322332.

It is a happy number.

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, 82951265 + ... + 85716735.

It is an arithmetic number, because the mean of its divisors is an integer number (3560780265120).

Almost surely, 2^{233223231314000} is an apocalyptic number.

233223231314000 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 233223231314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284862421209600).

233223231314000 is an abundant number, since it is smaller than the sum of its proper divisors (336501611105200).

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

233223231314000 is a wasteful number, since it uses less digits than its factorization.

233223231314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765926 (or 2765910 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 233223231314000 its reverse (413132322332), we get a palindrome (233636363636332).

The spelling of 233223231314000 in words is "two hundred thirty-three trillion, two hundred twenty-three billion, two hundred thirty-one million, three hundred fourteen thousand".