205224224000 has 144 divisors (see below), whose sum is σ = 513549603840. Its totient is φ = 81718732800.

The previous prime is 205224223999. The next prime is 205224224003. The reversal of 205224224000 is 422422502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205224224003) 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, 7121621 + ... + 7150379.

Almost surely, 2^205224224000 is an apocalyptic number.

205224224000 is a gapful number since it is divisible by the number (20) 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 205224224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256774801920).

205224224000 is an abundant number, since it is smaller than the sum of its proper divisors (308325379840).

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

205224224000 is an equidigital number, since it uses as much as digits as its factorization.

205224224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29013 (or 28989 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 205224224000 its reverse (422422502), we get a palindrome (205646646502).

The spelling of 205224224000 in words is "two hundred five billion, two hundred twenty-four million, two hundred twenty-four thousand".