Search a number
-
+
2216379264 = 27311247701
BaseRepresentation
bin1000010000011011…
…0100001110000000
312201110111201202220
42010012310032000
514014343114024
61003532411040
7105631625061
oct20406641600
95643451686
102216379264
11a380a7600
1251a316a80
13294247a28
14170502568
15ce8a4e79
hex841b4380

2216379264 has 96 divisors (see below), whose sum is σ = 6471253320. Its totient is φ = 671616000.

The previous prime is 2216379257. The next prime is 2216379311. The reversal of 2216379264 is 4629736122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22614 + ... + 70314.

Almost surely, 22216379264 is an apocalyptic number.

2216379264 is a gapful number since it is divisible by the number (24) 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 2216379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235626660).

2216379264 is an abundant number, since it is smaller than the sum of its proper divisors (4254874056).

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

2216379264 is a wasteful number, since it uses less digits than its factorization.

2216379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47740 (or 47717 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 2216379264 is about 47078.4373572446. The cubic root of 2216379264 is about 1303.8111561126.

The spelling of 2216379264 in words is "two billion, two hundred sixteen million, three hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 47701 95402 143103 190804 286206 381608 524711 572412 763216 1049422 1144824 1526432 1574133 2098844 2289648 3052864 3148266 4197688 4579296 5771821 6105728 6296532 8395376 9158592 11543642 12593064 16790752 17315463 18317184 23087284 25186128 33581504 34630926 46174568 50372256 67163008 69261852 92349136 100744512 138523704 184698272 201489024 277047408 369396544 554094816 738793088 1108189632 2216379264