204224405000 has 540 divisors, whose sum is σ = 619281996795. Its totient is φ = 62887440000.

The previous prime is 204224404999. The next prime is 204224405039. The reversal of 204224405000 is 504422402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 47216682436 + 157007722564 = 217294^2 + 396242^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=319550.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2460534959 + ... + 2460535041.

Almost surely, 2^204224405000 is an apocalyptic number.

204224405000 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 204224405000

204224405000 is an abundant number, since it is smaller than the sum of its proper divisors (415057591795).

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

204224405000 is an equidigital number, since it uses as much as digits as its factorization.

204224405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 108 counting only the distinct ones).

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

Adding to 204224405000 its reverse (504422402), we get a palindrome (204728827402).

The spelling of 204224405000 in words is "two hundred four billion, two hundred twenty-four million, four hundred five thousand".