242323200 has 324 divisors, whose sum is σ = 991773328. Its totient is φ = 55296000.

The previous prime is 242323183. The next prime is 242323229. The reversal of 242323200 is 2323242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402900 + ... + 403500.

Almost surely, 2^242323200 is an apocalyptic number.

242323200 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 242323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495886664).

242323200 is an abundant number, since it is smaller than the sum of its proper divisors (749450128).

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

242323200 is a wasteful number, since it uses less digits than its factorization.

242323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242323200 is about 15566.7337614543. The cubic root of 242323200 is about 623.4452663589.

Adding to 242323200 its reverse (2323242), we get a palindrome (244646442).

The spelling of 242323200 in words is "two hundred forty-two million, three hundred twenty-three thousand, two hundred".