204220404200 has 48 divisors (see below), whose sum is σ = 479513600460. Its totient is φ = 80879360000.

The previous prime is 204220404181. The next prime is 204220404203. The reversal of 204220404200 is 2404022402.

204220404200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 97135695556 + 107084708644 = 311666^2 + 327238^2 .

It is a super-2 number, since 2×204220404200² (a number of 23 digits) contains 22 as substring.

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 (204220404203) 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 11 ways as a sum of consecutive naturals, for example, 5034761 + ... + 5075160.

Almost surely, 2^204220404200 is an apocalyptic number.

204220404200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204220404200 is an abundant number, since it is smaller than the sum of its proper divisors (275293196260).

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

204220404200 is a wasteful number, since it uses less digits than its factorization.

204220404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110038 (or 10110029 counting only the distinct ones).

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

Adding to 204220404200 its reverse (2404022402), we get a palindrome (206624426602).

The spelling of 204220404200 in words is "two hundred four billion, two hundred twenty million, four hundred four thousand, two hundred".