242933220 has 72 divisors (see below), whose sum is σ = 742769664. Its totient is φ = 64266048.

The previous prime is 242933209. The next prime is 242933227. The reversal of 242933220 is 22339242.

242933220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242933227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17547 + ... + 28173.

Almost surely, 2^242933220 is an apocalyptic number.

242933220 is a gapful number since it is divisible by the number (20) 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 242933220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371384832).

242933220 is an abundant number, since it is smaller than the sum of its proper divisors (499836444).

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

242933220 is a wasteful number, since it uses less digits than its factorization.

242933220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 242933220 is about 15586.3151514397. The cubic root of 242933220 is about 623.9679778932.

The spelling of 242933220 in words is "two hundred forty-two million, nine hundred thirty-three thousand, two hundred twenty".