242200 has 48 divisors (see below), whose sum is σ = 647280. Its totient is φ = 82560.

The previous prime is 242197. The next prime is 242201. The reversal of 242200 is 2242.

242200 = 183² + 184² + ... + 189².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 1486.

It is an arithmetic number, because the mean of its divisors is an integer number (13485).

2²⁴²²⁰⁰ is an apocalyptic number.

242200 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 242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640).

242200 is an abundant number, since it is smaller than the sum of its proper divisors (405080).

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

242200 is a wasteful number, since it uses less digits than its factorization.

242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 242200 is about 492.1381919746. The cubic root of 242200 is about 62.3339592783. Note that the first 3 decimals are identical.

Adding to 242200 its reverse (2242), we get a palindrome (244442).

It can be divided in two parts, 242 and 200, that multiplied together give a square (48400 = 220²).

The spelling of 242200 in words is "two hundred forty-two thousand, two hundred", and thus it is an iban number.