242271616 has 32 divisors (see below), whose sum is σ = 485928000. Its totient is φ = 120313344.

The previous prime is 242271613. The next prime is 242271637. The reversal of 242271616 is 616172242.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242271611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12721 + ... + 25423.

It is an arithmetic number, because the mean of its divisors is an integer number (15185250).

Almost surely, 2^242271616 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 242271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242964000).

242271616 is an abundant number, since it is smaller than the sum of its proper divisors (243656384).

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

242271616 is a wasteful number, since it uses less digits than its factorization.

242271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12854 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 242271616 is about 15565.0768067491. The cubic root of 242271616 is about 623.4010250551.

The spelling of 242271616 in words is "two hundred forty-two million, two hundred seventy-one thousand, six hundred sixteen".