204300034224 has 320 divisors, whose sum is σ = 672544954368. Its totient is φ = 52472217600.

The previous prime is 204300034177. The next prime is 204300034247. The reversal of 204300034224 is 422430003402.

It is a super-3 number, since 3×204300034224³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204300034194 and 204300034203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4762857 + ... + 4805559.

Almost surely, 2^204300034224 is an apocalyptic number.

204300034224 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 204300034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336272477184).

204300034224 is an abundant number, since it is smaller than the sum of its proper divisors (468244920144).

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

204300034224 is a wasteful number, since it uses less digits than its factorization.

204300034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42796 (or 42790 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 204300034224 its reverse (422430003402), we get a palindrome (626730037626).

The spelling of 204300034224 in words is "two hundred four billion, three hundred million, thirty-four thousand, two hundred twenty-four".