242198320 has 320 divisors, whose sum is σ = 779950080. Its totient is φ = 67682304.

The previous prime is 242198309. The next prime is 242198321. The reversal of 242198320 is 23891242.

It is not an unprimeable number, because it can be changed into a prime (242198321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2351389 + ... + 2351491.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^242198320 is an apocalyptic number.

242198320 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 242198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

242198320 is an abundant number, since it is smaller than the sum of its proper divisors (537751760).

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

242198320 is a wasteful number, since it uses less digits than its factorization.

242198320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 242198320 is about 15562.7221269288. The cubic root of 242198320 is about 623.3381515319.

The spelling of 242198320 in words is "two hundred forty-two million, one hundred ninety-eight thousand, three hundred twenty".