230205220 has 48 divisors (see below), whose sum is σ = 555182208. Its totient is φ = 78543360.

The previous prime is 230205193. The next prime is 230205221. The reversal of 230205220 is 22502032.

230205220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230205194 and 230205203.

It is not an unprimeable number, because it can be changed into a prime (230205221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25644 + ... + 33436.

It is an arithmetic number, because the mean of its divisors is an integer number (11566296).

Almost surely, 2^230205220 is an apocalyptic number.

230205220 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 230205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277591104).

230205220 is an abundant number, since it is smaller than the sum of its proper divisors (324976988).

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

230205220 is a wasteful number, since it uses less digits than its factorization.

230205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 230205220 is about 15172.5152825759. The cubic root of 230205220 is about 612.8747405526.

Adding to 230205220 its reverse (22502032), we get a palindrome (252707252).

The spelling of 230205220 in words is "two hundred thirty million, two hundred five thousand, two hundred twenty".