220842 has 12 divisors (see below), whose sum is σ = 478530. Its totient is φ = 73608.

The previous prime is 220841. The next prime is 220859. The reversal of 220842 is 248022.

220842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 136161 + 84681 = 369^2 + 291^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12269 = 220842 / (2 + 2 + 0 + 8 + 4 + 2).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (220841) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6117 + ... + 6152.

2²²⁰⁸⁴² is an apocalyptic number.

220842 is an abundant number, since it is smaller than the sum of its proper divisors (257688).

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

220842 is a wasteful number, since it uses less digits than its factorization.

220842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220842 is about 469.9382938216. The cubic root of 220842 is about 60.4450243941.

Adding to 220842 its reverse (248022), we get a palindrome (468864).

The spelling of 220842 in words is "two hundred twenty thousand, eight hundred forty-two".