242240 has 28 divisors (see below), whose sum is σ = 577596. Its totient is φ = 96768.

The previous prime is 242227. The next prime is 242243. The reversal of 242240 is 42242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 123904 = 344^2 + 352^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (242243) by changing a digit.

242240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 698.

2²⁴²²⁴⁰ is an apocalyptic number.

242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288798).

242240 is an abundant number, since it is smaller than the sum of its proper divisors (335356).

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

242240 is an equidigital number, since it uses as much as digits as its factorization.

242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242240 is about 492.1788292887. The cubic root of 242240 is about 62.3373906313.

Adding to 242240 its reverse (42242), we get a palindrome (284482).

The spelling of 242240 in words is "two hundred forty-two thousand, two hundred forty", and thus it is an iban number.