230222303222032 has 120 divisors (see below), whose sum is σ = 490630238280000. Its totient is φ = 104574475864320.

The previous prime is 230222303222027. The next prime is 230222303222081.

It is a happy number.

230222303222032 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23614961094 + ... + 23614970842.

It is an arithmetic number, because the mean of its divisors is an integer number (4088585319000).

Almost surely, 2^{230222303222032} is an apocalyptic number.

230222303222032 is a gapful number since it is divisible by the number (22) 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 230222303222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245315119140000).

230222303222032 is an abundant number, since it is smaller than the sum of its proper divisors (260407935057968).

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

230222303222032 is a wasteful number, since it uses less digits than its factorization.

230222303222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16925 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 23022230 and 3222032, that added together give a palindrome (26244262).

The spelling of 230222303222032 in words is "two hundred thirty trillion, two hundred twenty-two billion, three hundred three million, two hundred twenty-two thousand, thirty-two".