204225220242 has 64 divisors (see below), whose sum is σ = 458479728000. Its totient is φ = 67379848704.

The previous prime is 204225220231. The next prime is 204225220373. The reversal of 204225220242 is 242022522402.

204225220242 is a `hidden beast` number, since 204 + 2 + 252 + 202 + 4 + 2 = 666.

204225220242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 4486734 + ... + 4532022.

It is an arithmetic number, because the mean of its divisors is an integer number (7163745750).

Almost surely, 2^204225220242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204225220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229239864000).

204225220242 is an abundant number, since it is smaller than the sum of its proper divisors (254254507758).

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

204225220242 is a wasteful number, since it uses less digits than its factorization.

204225220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46152 (or 46146 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 204225220242 its reverse (242022522402), we get a palindrome (446247742644).

The spelling of 204225220242 in words is "two hundred four billion, two hundred twenty-five million, two hundred twenty thousand, two hundred forty-two".