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286212 = 223172361
BaseRepresentation
bin1000101111000000100
3112112121110
41011320010
533124322
610045020
72301303
oct1057004
9475543
10286212
11186043
12119770
13a0374
147643a
1559c0c
hex45e04

286212 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 84480.

The previous prime is 286199. The next prime is 286243. The reversal of 286212 is 212682.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286212.

It is an unprimeable number.

286212 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 4662 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2286212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

286212 is an abundant number, since it is smaller than the sum of its proper divisors (463740).

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

286212 is a wasteful number, since it uses less digits than its factorization.

286212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 286212 is about 534.9878503293. The cubic root of 286212 is about 65.9015980817.

Adding to 286212 its reverse (212682), we get a palindrome (498894).

The spelling of 286212 in words is "two hundred eighty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 61 68 69 92 102 122 138 183 204 244 276 366 391 732 782 1037 1173 1403 1564 2074 2346 2806 3111 4148 4209 4692 5612 6222 8418 12444 16836 23851 47702 71553 95404 143106 286212