242182656 has 80 divisors (see below), whose sum is σ = 716918400. Its totient is φ = 80722944.

The previous prime is 242182651. The next prime is 242182679. The reversal of 242182656 is 656281242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242182656.

It is not an unprimeable number, because it can be changed into a prime (242182651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (8961480).

Almost surely, 2^242182656 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 242182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358459200).

242182656 is an abundant number, since it is smaller than the sum of its proper divisors (474735744).

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

242182656 is an equidigital number, since it uses as much as digits as its factorization.

242182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17546 (or 17524 counting only the distinct ones).

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

The square root of 242182656 is about 15562.2188649305. The cubic root of 242182656 is about 623.3247132619.

The spelling of 242182656 in words is "two hundred forty-two million, one hundred eighty-two thousand, six hundred fifty-six".