320000220810234 has 144 divisors (see below), whose sum is σ = 751819912272000. Its totient is φ = 98027228001024.

The previous prime is 320000220810233. The next prime is 320000220810239. The reversal of 320000220810234 is 432018022000023.

320000220810234 is a `hidden beast` number, since 3 + 200 + 0 + 0 + 220 + 8 + 1 + 0 + 234 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320000220810198 and 320000220810207.

It is not an unprimeable number, because it can be changed into a prime (320000220810233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1866468687 + ... + 1866640125.

It is an arithmetic number, because the mean of its divisors is an integer number (5220971613000).

Almost surely, 2^{320000220810234} is an apocalyptic number.

320000220810234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320000220810234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375909956136000).

320000220810234 is an abundant number, since it is smaller than the sum of its proper divisors (431819691461766).

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

320000220810234 is a wasteful number, since it uses less digits than its factorization.

320000220810234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174849 (or 174803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 320000220810234 its reverse (432018022000023), we get a palindrome (752018242810257).

The spelling of 320000220810234 in words is "three hundred twenty trillion, two hundred twenty million, eight hundred ten thousand, two hundred thirty-four".