202005242 has 16 divisors (see below), whose sum is σ = 314058600. Its totient is φ = 97332480.

The previous prime is 202005239. The next prime is 202005253. The reversal of 202005242 is 242500202.

202005242 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 4 ways, for example, as 101223721 + 100781521 = 10061^2 + 10039^2 .

It is a super-2 number, since 2×202005242² = 81612235590957128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202005242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29942 + ... + 36062.

Almost surely, 2^202005242 is an apocalyptic number.

202005242 is a deficient number, since it is larger than the sum of its proper divisors (112053358).

202005242 is a wasteful number, since it uses less digits than its factorization.

202005242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721.

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 202005242 is about 14212.8548152720. The cubic root of 202005242 is about 586.7515062538.

Adding to 202005242 its reverse (242500202), we get a palindrome (444505444).

The spelling of 202005242 in words is "two hundred two million, five thousand, two hundred forty-two".