204424020224 has 72 divisors (see below), whose sum is σ = 412169493120. Its totient is φ = 101183846400.

The previous prime is 204424020191. The next prime is 204424020247. The reversal of 204424020224 is 422020424402.

It is a super-2 number, since 2×204424020224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204424020193 and 204424020202.

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, 14111417 + ... + 14125895.

Almost surely, 2^204424020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204424020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206084746560).

204424020224 is an abundant number, since it is smaller than the sum of its proper divisors (207745472896).

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

204424020224 is a wasteful number, since it uses less digits than its factorization.

204424020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047 (or 15033 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 204424020224 its reverse (422020424402), we get a palindrome (626444444626).

The spelling of 204424020224 in words is "two hundred four billion, four hundred twenty-four million, twenty thousand, two hundred twenty-four".