242208 has 54 divisors (see below), whose sum is σ = 713349. Its totient is φ = 77952.

The previous prime is 242201. The next prime is 242227. The reversal of 242208 is 802242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 144 = 492^2 + 12^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=348.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242208.

It is not an unprimeable number, because it can be changed into a prime (242201) by changing a digit.

242208 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 8 ways as a sum of consecutive naturals, for example, 8338 + ... + 8366.

2²⁴²²⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242208

242208 is an abundant number, since it is smaller than the sum of its proper divisors (471141).

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

242208 is a wasteful number, since it uses less digits than its factorization.

242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242208 is about 492.1463197058. The cubic root of 242208 is about 62.3346455791.

Multiplying 242208 by its sum of digits (18), we get a square (4359744 = 2088²).

242208 divided by its sum of digits (18) gives a square (13456 = 116²).

The spelling of 242208 in words is "two hundred forty-two thousand, two hundred eight".