230320210032 has 240 divisors, whose sum is σ = 734499417600. Its totient is φ = 66731696640.

The previous prime is 230320210031. The next prime is 230320210037. The reversal of 230320210032 is 230012023032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230320209987 and 230320210014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320210031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4707069 + ... + 4755747.

It is an arithmetic number, because the mean of its divisors is an integer number (3060414240).

Almost surely, 2^230320210032 is an apocalyptic number.

230320210032 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 230320210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367249708800).

230320210032 is an abundant number, since it is smaller than the sum of its proper divisors (504179207568).

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

230320210032 is a wasteful number, since it uses less digits than its factorization.

230320210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48836 (or 48827 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230320210032 its reverse (230012023032), we get a palindrome (460332233064).

The spelling of 230320210032 in words is "two hundred thirty billion, three hundred twenty million, two hundred ten thousand, thirty-two".