204340224 has 88 divisors (see below), whose sum is σ = 594252288. Its totient is φ = 61911040.

The previous prime is 204340139. The next prime is 204340247. The reversal of 204340224 is 422043402.

It is a tau number, because it is divible by the number of its divisors (88).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 204340224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30769 + ... + 36815.

Almost surely, 2^204340224 is an apocalyptic number.

204340224 is a gapful number since it is divisible by the number (24) 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 204340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297126144).

204340224 is an abundant number, since it is smaller than the sum of its proper divisors (389912064).

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

204340224 is a wasteful number, since it uses less digits than its factorization.

204340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 204340224 is about 14294.7621176430. The cubic root of 204340224 is about 589.0036079079.

Adding to 204340224 its reverse (422043402), we get a palindrome (626383626).

The spelling of 204340224 in words is "two hundred four million, three hundred forty thousand, two hundred twenty-four".