242000 has 60 divisors (see below), whose sum is σ = 643188. Its totient is φ = 88000.

The previous prime is 241993. The next prime is 242009. The reversal of 242000 is 242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 234256 = 88^2 + 484^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242009) by changing a digit.

242000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21995 + ... + 22005.

2²⁴²⁰⁰⁰ is an apocalyptic number.

242000 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 242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594).

242000 is an abundant number, since it is smaller than the sum of its proper divisors (401188).

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

242000 is a wasteful number, since it uses less digits than its factorization.

242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 242000 is about 491.9349550500. The cubic root of 242000 is about 62.3167968437.

Adding to 242000 its reverse (242), we get a palindrome (242242).

242000 divided by its reverse (242) gives a cube (1000 = 10³).

The spelling of 242000 in words is "two hundred forty-two thousand", and thus it is an iban number.