204631824228 has 384 divisors, whose sum is σ = 599005102080. Its totient is φ = 53702922240.

The previous prime is 204631824217. The next prime is 204631824239. The reversal of 204631824228 is 822428136402.

204631824228 is digitally balanced in base 2, because in such base 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 (204631824217) and next prime (204631824239).

It is a super-3 number, since 3×204631824228³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204631824228.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 78191976 + ... + 78194592.

It is an arithmetic number, because the mean of its divisors is an integer number (1559909120).

Almost surely, 2^204631824228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204631824228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299502551040).

204631824228 is an abundant number, since it is smaller than the sum of its proper divisors (394373277852).

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

204631824228 is a wasteful number, since it uses less digits than its factorization.

204631824228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 204631824228 in words is "two hundred four billion, six hundred thirty-one million, eight hundred twenty-four thousand, two hundred twenty-eight".