204314220 has 144 divisors (see below), whose sum is σ = 711809280. Its totient is φ = 46915200.

The previous prime is 204314207. The next prime is 204314237. The reversal of 204314220 is 22413402.

204314220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 204314193 and 204314202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34905 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (4943120).

Almost surely, 2^204314220 is an apocalyptic number.

204314220 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 204314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355904640).

204314220 is an abundant number, since it is smaller than the sum of its proper divisors (507495060).

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

204314220 is a wasteful number, since it uses less digits than its factorization.

204314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204314220 is about 14293.8525247744. The cubic root of 204314220 is about 588.9786216386.

Adding to 204314220 its reverse (22413402), we get a palindrome (226727622).

The spelling of 204314220 in words is "two hundred four million, three hundred fourteen thousand, two hundred twenty".