242232000 has 112 divisors (see below), whose sum is σ = 799929312. Its totient is φ = 64588800.

The previous prime is 242231999. The next prime is 242232017. The reversal of 242232000 is 232242.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 18954 + ... + 29046.

It is an arithmetic number, because the mean of its divisors is an integer number (7142226).

Almost surely, 2^242232000 is an apocalyptic number.

242232000 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 242232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399964656).

242232000 is an abundant number, since it is smaller than the sum of its proper divisors (557697312).

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

242232000 is a wasteful number, since it uses less digits than its factorization.

242232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242232000 is about 15563.8041622220. The cubic root of 242232000 is about 623.3670439094.

Adding to 242232000 its reverse (232242), we get a palindrome (242464242).

The spelling of 242232000 in words is "two hundred forty-two million, two hundred thirty-two thousand".