242232320 has 264 divisors, whose sum is σ = 705674592. Its totient is φ = 79298560.

The previous prime is 242232301. The next prime is 242232379. The reversal of 242232320 is 23232242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242232292 and 242232301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10531829 + ... + 10531851.

Almost surely, 2^242232320 is an apocalyptic number.

242232320 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 242232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837296).

242232320 is an abundant number, since it is smaller than the sum of its proper divisors (463442272).

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

242232320 is a wasteful number, since it uses less digits than its factorization.

242232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242232320 is about 15563.8144424816. The cubic root of 242232320 is about 623.3673184085.

Adding to 242232320 its reverse (23232242), we get a palindrome (265464562).

The spelling of 242232320 in words is "two hundred forty-two million, two hundred thirty-two thousand, three hundred twenty".