242243200 has 192 divisors, whose sum is σ = 652826520. Its totient is φ = 88473600.

The previous prime is 242243191. The next prime is 242243201. The reversal of 242243200 is 2342242.

It can be written as a sum of positive squares in 12 ways, for example, as 4096576 + 238146624 = 2024^2 + 15432^2 .

It is not an unprimeable number, because it can be changed into a prime (242243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3318364 + ... + 3318436.

Almost surely, 2^242243200 is an apocalyptic number.

242243200 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 242243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326413260).

242243200 is an abundant number, since it is smaller than the sum of its proper divisors (410583320).

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

242243200 is a wasteful number, since it uses less digits than its factorization.

242243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242243200 is about 15564.1639672679. The cubic root of 242243200 is about 623.3766512326.

Adding to 242243200 its reverse (2342242), we get a palindrome (244585442).

The spelling of 242243200 in words is "two hundred forty-two million, two hundred forty-three thousand, two hundred".