Search a number
-
+
2280946668 = 22372111327127
BaseRepresentation
bin1000011111110100…
…0111101111101100
312212222000002121020
42013331013233230
514132410243133
61014200334140
7110344504200
oct20775075754
95788002536
102280946668
11a70597aa0
12537a74350
132a47338b0
14178d0cb00
15d53ab0b3
hex87f47bec

2280946668 has 144 divisors (see below), whose sum is σ = 7273776384. Its totient is φ = 546860160.

The previous prime is 2280946651. The next prime is 2280946673. The reversal of 2280946668 is 8666490822.

It is a self number, because there is not a number n which added to its sum of digits gives 2280946668.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70521 + ... + 97647.

It is an arithmetic number, because the mean of its divisors is an integer number (50512336).

Almost surely, 22280946668 is an apocalyptic number.

2280946668 is a gapful number since it is divisible by the number (28) 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 2280946668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636888192).

2280946668 is an abundant number, since it is smaller than the sum of its proper divisors (4992829716).

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

2280946668 is a wasteful number, since it uses less digits than its factorization.

2280946668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27172 (or 27163 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 2280946668 is about 47759.2574062872. The cubic root of 2280946668 is about 1316.3510079239.

The spelling of 2280946668 in words is "two billion, two hundred eighty million, nine hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 27127 28028 42042 54254 81381 84084 108508 162762 189889 298397 325524 352651 379778 569667 596794 705302 759556 895191 1057953 1139334 1193588 1329223 1410604 1790382 2088779 2115906 2278668 2468557 2658446 3580764 3879161 3987669 4177558 4231812 4937114 5316892 6266337 7405671 7758322 7975338 8355116 9874228 11637483 12532674 14621453 14811342 15516644 15950676 17279899 23274966 25065348 27154127 29242906 29622684 34559798 43864359 46549932 51839697 54308254 58485812 69119596 81462381 87728718 103679394 108616508 162924762 175457436 190078889 207358788 325849524 380157778 570236667 760315556 1140473334 2280946668