Search a number
-
+
2330861841 = 3272114192
BaseRepresentation
bin1000101011101110…
…0010000100010001
320000102221001100100
42022323202010101
514233200034331
61023142243013
7111521666400
oct21273420421
96012831310
102330861841
11a96790000
12550726469
132b1b8c4b9
141817c3637
15d996aae6
hex8aee2111

2330861841 has 135 divisors (see below), whose sum is σ = 4546779705. Its totient is φ = 1147109040.

The previous prime is 2330861831. The next prime is 2330861843. The reversal of 2330861841 is 1481680332.

The square root of 2330861841 is 48279.

It is a perfect power (a square), and thus also a powerful number.

2330861841 is a `hidden beast` number, since 2 + 3 + 30 + 8 + 618 + 4 + 1 = 666.

It is not a de Polignac number, because 2330861841 - 27 = 2330861713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2330861796 and 2330861805.

It is not an unprimeable number, because it can be changed into a prime (2330861843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 122676930 + ... + 122676948.

Almost surely, 22330861841 is an apocalyptic number.

2330861841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2330861841 is the 48279-th square number.

2330861841 is the 24140-th centered octagonal number.

It is an amenable number.

2330861841 is a deficient number, since it is larger than the sum of its proper divisors (2215917864).

2330861841 is an equidigital number, since it uses as much as digits as its factorization.

2330861841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 2330861841 is about 1325.8839415085.

Multiplying 2330861841 by its sum of digits (36), we get a square (83911026276 = 2896742).

The spelling of 2330861841 in words is "two billion, three hundred thirty million, eight hundred sixty-one thousand, eight hundred forty-one".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 121 133 147 171 209 231 361 363 399 441 539 627 693 847 931 1083 1089 1197 1331 1463 1617 1881 2299 2527 2541 2793 3249 3971 3993 4389 4851 5929 6897 7581 7623 8379 9317 10241 11913 11979 13167 14641 16093 17689 17787 20691 22743 25289 27797 27951 30723 35739 43681 43923 48279 53067 53361 65219 75867 83391 83853 92169 102487 112651 131043 131769 144837 159201 177023 194579 195657 227601 250173 278179 305767 307461 337953 393129 480491 531069 583737 586971 717409 834537 917301 922383 1013859 1239161 1441473 1593207 1751211 1947253 2140369 2152227 2503611 2751903 3363437 3717483 4324419 5285401 5841759 6421107 6456681 10090311 11152449 13630771 15856203 17525277 19263321 23544059 30270933 36997807 40892313 47568609 70632177 110993421 122676939 211896531 258984649 332980263 776953947 2330861841