233288145 has 48 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 120189312.

The previous prime is 233288129. The next prime is 233288147. The reversal of 233288145 is 541882332.

233288145 is a `hidden beast` number, since 233 + 288 + 145 = 666.

It is not a de Polignac number, because 233288145 - 2⁴ = 233288129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233288147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277636 + ... + 278474.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^233288145 is an apocalyptic number.

It is an amenable number.

233288145 is a deficient number, since it is larger than the sum of its proper divisors (184991535).

233288145 is a wasteful number, since it uses less digits than its factorization.

233288145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 233288145 is about 15273.7731094841. The cubic root of 233288145 is about 615.5985052028.

The spelling of 233288145 in words is "two hundred thirty-three million, two hundred eighty-eight thousand, one hundred forty-five".