204220434132 has 144 divisors (see below), whose sum is σ = 608167647360. Its totient is φ = 56964960000.

The previous prime is 204220434059. The next prime is 204220434161. The reversal of 204220434132 is 231434022402.

204220434132 is a `hidden beast` number, since 2 + 0 + 4 + 220 + 434 + 1 + 3 + 2 = 666.

204220434132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204220434096 and 204220434105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1792882 + ... + 1903382.

It is an arithmetic number, because the mean of its divisors is an integer number (4223386440).

Almost surely, 2^204220434132 is an apocalyptic number.

204220434132 is a gapful number since it is divisible by the number (22) 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 204220434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304083823680).

204220434132 is an abundant number, since it is smaller than the sum of its proper divisors (403947213228).

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

204220434132 is a wasteful number, since it uses less digits than its factorization.

204220434132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110894 (or 110889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 204220434132 its reverse (231434022402), we get a palindrome (435654456534).

The spelling of 204220434132 in words is "two hundred four billion, two hundred twenty million, four hundred thirty-four thousand, one hundred thirty-two".