200305220 has 96 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 70502400.

The previous prime is 200305219. The next prime is 200305253. The reversal of 200305220 is 22503002.

It is a junction number, because it is equal to n+sod(n) for n = 200305195 and 200305204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652307 + ... + 652613.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^200305220 is an apocalyptic number.

200305220 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 200305220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

200305220 is an abundant number, since it is smaller than the sum of its proper divisors (274704700).

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

200305220 is a wasteful number, since it uses less digits than its factorization.

200305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 200305220 is about 14152.9226663612. The cubic root of 200305220 is about 585.1008860025.

Adding to 200305220 its reverse (22503002), we get a palindrome (222808222).

The spelling of 200305220 in words is "two hundred million, three hundred five thousand, two hundred twenty".