[go: up one dir, main page]

Search a number
-
+
283122 = 23372107
BaseRepresentation
bin1000101000111110010
3112101101000
41011013302
533024442
610022430
72256300
oct1050762
9471330
10283122
11183794
12117a16
139bb38
1475270
1558d4c
hex451f2

283122 has 48 divisors (see below), whose sum is σ = 738720. Its totient is φ = 80136.

The previous prime is 283121. The next prime is 283133. The reversal of 283122 is 221382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 283095 and 283104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283122.

It is not an unprimeable number, because it can be changed into a prime (283121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2593 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2283122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360).

283122 is an abundant number, since it is smaller than the sum of its proper divisors (455598).

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

283122 is a wasteful number, since it uses less digits than its factorization.

283122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 283122 is about 532.0920972914. The cubic root of 283122 is about 65.6635773181.

The spelling of 283122 in words is "two hundred eighty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 107 126 147 189 214 294 321 378 441 642 749 882 963 1323 1498 1926 2247 2646 2889 4494 5243 5778 6741 10486 13482 15729 20223 31458 40446 47187 94374 141561 283122