242288 has 20 divisors (see below), whose sum is σ = 494760. Its totient is φ = 114624.

The previous prime is 242279. The next prime is 242309. The reversal of 242288 is 882242.

242288 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2²⁴²²⁸⁸ is an apocalyptic number.

It is an amenable number.

242288 is an abundant number, since it is smaller than the sum of its proper divisors (252472).

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

242288 is a wasteful number, since it uses less digits than its factorization.

242288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 242288 is about 492.2275896372. The cubic root of 242288 is about 62.3415077564.

It can be divided in two parts, 242 and 288, that multiplied together give a palindrome (69696).

The spelling of 242288 in words is "two hundred forty-two thousand, two hundred eighty-eight".