230222424222032 has 120 divisors (see below), whose sum is σ = 500586705400320. Its totient is φ = 102457724512000.

The previous prime is 230222424222031. The next prime is 230222424222079.

It is a happy number.

230222424222032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230222424222032² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230222424222032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230222424222031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46807157 + ... + 51491307.

It is an arithmetic number, because the mean of its divisors is an integer number (4171555878336).

Almost surely, 2^{230222424222032} is an apocalyptic number.

230222424222032 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 230222424222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250293352700160).

230222424222032 is an abundant number, since it is smaller than the sum of its proper divisors (270364281178288).

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

230222424222032 is a wasteful number, since it uses less digits than its factorization.

230222424222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684713 (or 4684696 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The spelling of 230222424222032 in words is "two hundred thirty trillion, two hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, thirty-two".