242216 has 32 divisors (see below), whose sum is σ = 521640. Its totient is φ = 104448.

The previous prime is 242201. The next prime is 242227. The reversal of 242216 is 612242.

242216 = 59² + 60² + ... + 97².

It can be written as a sum of positive squares in 4 ways, for example, as 206116 + 36100 = 454^2 + 190^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 242194 and 242203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242216.

It is an unprimeable number.

242216 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 7 ways as a sum of consecutive naturals, for example, 1700 + ... + 1836.

2²⁴²²¹⁶ is an apocalyptic number.

242216 is a gapful number since it is divisible by the number (26) 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 242216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260820).

242216 is an abundant number, since it is smaller than the sum of its proper divisors (279424).

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

242216 is a wasteful number, since it uses less digits than its factorization.

242216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 242216 is about 492.1544473029. The cubic root of 242216 is about 62.3353318648.

Adding to 242216 its reverse (612242), we get a palindrome (854458).

The spelling of 242216 in words is "two hundred forty-two thousand, two hundred sixteen".