242644224 has 72 divisors (see below), whose sum is σ = 663318880. Its totient is φ = 78686208.

The previous prime is 242644219. The next prime is 242644249. The reversal of 242644224 is 422446242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242644191 and 242644200.

It is a congruent number.

It is an unprimeable number.

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, 24147 + ... + 32685.

Almost surely, 2^242644224 is an apocalyptic number.

242644224 is a gapful number since it is divisible by the number (24) 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 242644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331659440).

242644224 is an abundant number, since it is smaller than the sum of its proper divisors (420674656).

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

242644224 is an equidigital number, since it uses as much as digits as its factorization.

242644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8581 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 242644224 is about 15577.0415676405. The cubic root of 242644224 is about 623.7204533509.

The spelling of 242644224 in words is "two hundred forty-two million, six hundred forty-four thousand, two hundred twenty-four".