205006224 has 80 divisors (see below), whose sum is σ = 549679104. Its totient is φ = 65769600.

The previous prime is 205006187. The next prime is 205006229. The reversal of 205006224 is 422600502.

It is a self number, because there is not a number n which added to its sum of digits gives 205006224.

It is not an unprimeable number, because it can be changed into a prime (205006229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462547 + ... + 462989.

Almost surely, 2^205006224 is an apocalyptic number.

205006224 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 205006224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274839552).

205006224 is an abundant number, since it is smaller than the sum of its proper divisors (344672880).

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

205006224 is a wasteful number, since it uses less digits than its factorization.

205006224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205006224 is about 14318.0384131347. The cubic root of 205006224 is about 589.6428212534.

Adding to 205006224 its reverse (422600502), we get a palindrome (627606726).

The spelling of 205006224 in words is "two hundred five million, six thousand, two hundred twenty-four".