242042193 has 24 divisors (see below), whose sum is σ = 355660032. Its totient is φ = 158593248.

The previous prime is 242042173. The next prime is 242042219. The reversal of 242042193 is 391240242.

242042193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242042193 - 2¹⁴ = 242025809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242042113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165855 + ... + 167307.

It is an arithmetic number, because the mean of its divisors is an integer number (14819168).

Almost surely, 2^242042193 is an apocalyptic number.

It is an amenable number.

242042193 is a deficient number, since it is larger than the sum of its proper divisors (113617839).

242042193 is a wasteful number, since it uses less digits than its factorization.

242042193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242042193 is about 15557.7052613809. The cubic root of 242042193 is about 623.2041830350.

The spelling of 242042193 in words is "two hundred forty-two million, forty-two thousand, one hundred ninety-three".