242523220 has 96 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 88704000.

The previous prime is 242523191. The next prime is 242523223. The reversal of 242523220 is 22325242.

It is a happy number.

242523220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242523191 and 242523200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242523223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401170 + ... + 2401270.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^242523220 is an apocalyptic number.

242523220 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 242523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

242523220 is an abundant number, since it is smaller than the sum of its proper divisors (312683180).

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

242523220 is a wasteful number, since it uses less digits than its factorization.

242523220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 242523220 is about 15573.1570338194. The cubic root of 242523220 is about 623.6167552729.

Adding to 242523220 its reverse (22325242), we get a palindrome (264848462).

It can be divided in two parts, 24252 and 3220, that added together give a palindrome (27472).

The spelling of 242523220 in words is "two hundred forty-two million, five hundred twenty-three thousand, two hundred twenty".