204222004400 has 30 divisors (see below), whose sum is σ = 490643366532. Its totient is φ = 81688801600.

The previous prime is 204222004397. The next prime is 204222004403. The reversal of 204222004400 is 4400222402.

204222004400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204222004397) and next prime (204222004403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204222004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255277106 + ... + 255277905.

Almost surely, 2^204222004400 is an apocalyptic number.

204222004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204222004400 is an abundant number, since it is smaller than the sum of its proper divisors (286421362132).

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

204222004400 is a wasteful number, since it uses less digits than its factorization.

204222004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510555029 (or 510555018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204222004400 its reverse (4400222402), we get a palindrome (208622226802).

The spelling of 204222004400 in words is "two hundred four billion, two hundred twenty-two million, four thousand, four hundred".