204242220 has 288 divisors, whose sum is σ = 785436288. Its totient is φ = 41803776.

The previous prime is 204242219. The next prime is 204242237. The reversal of 204242220 is 22242402.

204242220 is a `hidden beast` number, since 20 + 424 + 2 + 220 = 666.

204242220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 204242193 and 204242202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605892 + ... + 606228.

Almost surely, 2^204242220 is an apocalyptic number.

204242220 is a gapful number since it is divisible by the number (20) 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 204242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392718144).

204242220 is an abundant number, since it is smaller than the sum of its proper divisors (581194068).

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

204242220 is a wasteful number, since it uses less digits than its factorization.

204242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204242220 is about 14291.3337376188. Note that the first 3 decimals coincide. The cubic root of 204242220 is about 588.9094284728.

Adding to 204242220 its reverse (22242402), we get a palindrome (226484622).

The spelling of 204242220 in words is "two hundred four million, two hundred forty-two thousand, two hundred twenty".