242122432 has 56 divisors (see below), whose sum is σ = 512704080. Its totient is φ = 113049600.

The previous prime is 242122423. The next prime is 242122451. The reversal of 242122432 is 234221242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150432 + ... + 152032.

It is an arithmetic number, because the mean of its divisors is an integer number (9155430).

Almost surely, 2^242122432 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 242122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256352040).

242122432 is an abundant number, since it is smaller than the sum of its proper divisors (270581648).

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

242122432 is a wasteful number, since it uses less digits than its factorization.

242122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 242122432 is about 15560.2838020391. The cubic root of 242122432 is about 623.2730412164.

Adding to 242122432 its reverse (234221242), we get a palindrome (476343674).

The spelling of 242122432 in words is "two hundred forty-two million, one hundred twenty-two thousand, four hundred thirty-two".