204333220 has 144 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 61067520.

The previous prime is 204333211. The next prime is 204333229. The reversal of 204333220 is 22333402.

204333220 is a nontrivial binomial coefficient, being equal to C(20216, 2).

It is an interprime number because it is at equal distance from previous prime (204333211) and next prime (204333229).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (204333229) 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, 656865 + ... + 657175.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2^204333220 is an apocalyptic number.

204333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204333220 is the 20215-th triangular number and also the 10108-th hexagonal number.

204333220 is the 6739-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

204333220 is an abundant number, since it is smaller than the sum of its proper divisors (354840668).

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

204333220 is a wasteful number, since it uses less digits than its factorization.

204333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 204333220 is about 14294.5171307043. The cubic root of 204333220 is about 588.9968782353.

Adding to 204333220 its reverse (22333402), we get a palindrome (226666622).

It can be divided in two parts, 20433 and 3220, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 204333220 in words is "two hundred four million, three hundred thirty-three thousand, two hundred twenty".