242330000 has 100 divisors (see below), whose sum is σ = 640332528. Its totient is φ = 88080000.

The previous prime is 242329963. The next prime is 242330017. The reversal of 242330000 is 33242.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108899 + ... + 111101.

Almost surely, 2^242330000 is an apocalyptic number.

242330000 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 242330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166264).

242330000 is an abundant number, since it is smaller than the sum of its proper divisors (398002528).

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

242330000 is a wasteful number, since it uses less digits than its factorization.

242330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 242330000 is about 15566.9521743982. The cubic root of 242330000 is about 623.4510979482.

Adding to 242330000 its reverse (33242), we get a palindrome (242363242).

It can be divided in two parts, 2423 and 30000, that added together give a palindrome (32423).

The spelling of 242330000 in words is "two hundred forty-two million, three hundred thirty thousand".