242207000 has 96 divisors (see below), whose sum is σ = 659430720. Its totient is φ = 83025600.

The previous prime is 242206981. The next prime is 242207011. The reversal of 242207000 is 702242.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 242207000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46529 + ... + 51471.

It is an arithmetic number, because the mean of its divisors is an integer number (6869070).

Almost surely, 2^242207000 is an apocalyptic number.

242207000 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 242207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329715360).

242207000 is an abundant number, since it is smaller than the sum of its proper divisors (417223720).

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

242207000 is a wasteful number, since it uses less digits than its factorization.

242207000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 242207000 is about 15563.0009959519. Note that the first 3 decimals coincide. The cubic root of 242207000 is about 623.3455979234.

Adding to 242207000 its reverse (702242), we get a palindrome (242909242).

The spelling of 242207000 in words is "two hundred forty-two million, two hundred seven thousand".