242232180 has 96 divisors (see below), whose sum is σ = 693633024. Its totient is φ = 63149184.

The previous prime is 242232173. The next prime is 242232187. The reversal of 242232180 is 81232242.

242232180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242232173) and next prime (242232187).

It is a self number, because there is not a number n which added to its sum of digits gives 242232180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242232187) 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, 632269 + ... + 632651.

It is an arithmetic number, because the mean of its divisors is an integer number (7225344).

Almost surely, 2^242232180 is an apocalyptic number.

242232180 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 242232180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346816512).

242232180 is an abundant number, since it is smaller than the sum of its proper divisors (451400844).

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

242232180 is a wasteful number, since it uses less digits than its factorization.

242232180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242232180 is about 15563.8099448689. The cubic root of 242232180 is about 623.3671983152.

The spelling of 242232180 in words is "two hundred forty-two million, two hundred thirty-two thousand, one hundred eighty".