282220 has 24 divisors (see below), whose sum is σ = 602784. Its totient is φ = 110976.

The previous prime is 282167. The next prime is 282221. The reversal of 282220 is 22282.

It is a junction number, because it is equal to n+sod(n) for n = 282194 and 282203.

It is not an unprimeable number, because it can be changed into a prime (282221) by changing a digit.

282220 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, 1992 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (25116).

2²⁸²²²⁰ is an apocalyptic number.

282220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282220 is an abundant number, since it is smaller than the sum of its proper divisors (320564).

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

282220 is a wasteful number, since it uses less digits than its factorization.

282220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 282220 is about 531.2438234935. The cubic root of 282220 is about 65.5937704773.

The spelling of 282220 in words is "two hundred eighty-two thousand, two hundred twenty".