288288193 has 12 divisors (see below), whose sum is σ = 306955792. Its totient is φ = 270699840.

The previous prime is 288288181. The next prime is 288288269. The reversal of 288288193 is 391882882.

It is a de Polignac number, because none of the positive numbers 2^k-288288193 is a prime.

It is a super-2 number, since 2×288288193² = 166220164446410498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288288113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164146 + ... + 165892.

Almost surely, 2^288288193 is an apocalyptic number.

It is an amenable number.

288288193 is a deficient number, since it is larger than the sum of its proper divisors (18667599).

288288193 is a wasteful number, since it uses less digits than its factorization.

288288193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2335 counting only the distinct ones).

The product of its digits is 442368, while the sum is 49.

The square root of 288288193 is about 16979.0515930661. The cubic root of 288288193 is about 660.6056523451.

The spelling of 288288193 in words is "two hundred eighty-eight million, two hundred eighty-eight thousand, one hundred ninety-three".