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282228 = 22329811
BaseRepresentation
bin1000100111001110100
3112100010220
41010321310
533012403
610014340
72253552
oct1047164
9470126
10282228
11183051
121173b0
139b5cb
1474bd2
1558953
hex44e74

282228 has 24 divisors (see below), whose sum is σ = 682080. Its totient is φ = 90720.

The previous prime is 282221. The next prime is 282229. The reversal of 282228 is 822282.

It is a junction number, because it is equal to n+sod(n) for n = 282198 and 282207.

It is a congruent number.

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

282228 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, 58 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (28420).

2282228 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 282228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341040).

282228 is an abundant number, since it is smaller than the sum of its proper divisors (399852).

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

282228 is a wasteful number, since it uses less digits than its factorization.

282228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 282228 is about 531.2513529395. The cubic root of 282228 is about 65.5943902599.

It can be divided in two parts, 2822 and 28, that added together give a triangular number (2850 = T75).

The spelling of 282228 in words is "two hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 811 1622 2433 3244 4866 9732 23519 47038 70557 94076 141114 282228