286224 has 40 divisors (see below), whose sum is σ = 758880. Its totient is φ = 92928.

The previous prime is 286199. The next prime is 286243. The reversal of 286224 is 422682.

It is a Cunningham number, because it is equal to 535²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2³ + 8 + 2⁷ + 6⁷ + 2¹¹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 286194 and 286203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3172 + ... + 3260.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2²⁸⁶²²⁴ is an apocalyptic number.

286224 is a gapful number since it is divisible by the number (24) 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 286224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

286224 is an abundant number, since it is smaller than the sum of its proper divisors (472656).

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

286224 is a wasteful number, since it uses less digits than its factorization.

286224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 286224 is about 534.9990654197. Note that the first 3 decimals coincide. The cubic root of 286224 is about 65.9025190868.

The spelling of 286224 in words is "two hundred eighty-six thousand, two hundred twenty-four".