Search a number
-
+
2287116 = 223513181
BaseRepresentation
bin1000101110011000001100
311022012100000
420232120030
51041141431
6121004300
725303656
oct10563014
94265300
102287116
111322387
12923690
13621030
144376d6
153029e6
hex22e60c

2287116 has 72 divisors (see below), whose sum is σ = 6492304. Its totient is φ = 699840.

The previous prime is 2287111. The next prime is 2287121. The reversal of 2287116 is 6117822.

It is an interprime number because it is at equal distance from previous prime (2287111) and next prime (2287121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2287116.

It is not an unprimeable number, because it can be changed into a prime (2287111) 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, 12546 + ... + 12726.

22287116 is an apocalyptic number.

2287116 is a gapful number since it is divisible by the number (26) 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 2287116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246152).

2287116 is an abundant number, since it is smaller than the sum of its proper divisors (4205188).

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

2287116 is a wasteful number, since it uses less digits than its factorization.

2287116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2287116 is about 1512.3213944132. The cubic root of 2287116 is about 131.7536728426.

The spelling of 2287116 in words is "two million, two hundred eighty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 181 234 243 324 351 362 468 486 543 702 724 972 1053 1086 1404 1629 2106 2172 2353 3159 3258 4212 4706 4887 6318 6516 7059 9412 9774 12636 14118 14661 19548 21177 28236 29322 42354 43983 58644 63531 84708 87966 127062 175932 190593 254124 381186 571779 762372 1143558 2287116