242311300 has 72 divisors (see below), whose sum is σ = 655583040. Its totient is φ = 75523200.

The previous prime is 242311241. The next prime is 242311357. The reversal of 242311300 is 3113242.

It is a happy number.

It is a super-2 number, since 2×242311300² = 117429532215380000, which contains 22 as substring.

It is an unprimeable number.

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, 8035 + ... + 23434.

It is an arithmetic number, because the mean of its divisors is an integer number (9105320).

Almost surely, 2^242311300 is an apocalyptic number.

242311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242311300 is an abundant number, since it is smaller than the sum of its proper divisors (413271740).

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

242311300 is a wasteful number, since it uses less digits than its factorization.

242311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31501 (or 31494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 242311300 is about 15566.3515314283. The cubic root of 242311300 is about 623.4350608150.

Adding to 242311300 its reverse (3113242), we get a palindrome (245424542).

The spelling of 242311300 in words is "two hundred forty-two million, three hundred eleven thousand, three hundred".