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2305260216 = 2333710714249
BaseRepresentation
bin1000100101100111…
…0111101010111000
312221122202100112000
42021121313222320
514210121311331
61020425421000
7111061250160
oct21131675270
95848670460
102305260216
11a83294136
1254403a760
132a97974cc
1417c23b5a0
15d75b00e6
hex89677ab8

2305260216 has 128 divisors (see below), whose sum is σ = 7387200000. Its totient is φ = 652444416.

The previous prime is 2305260187. The next prime is 2305260227. The reversal of 2305260216 is 6120625032.

2305260216 is a `hidden beast` number, since 2 + 3 + 0 + 52 + 602 + 1 + 6 = 666.

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 2305260216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154660 + ... + 168908.

It is an arithmetic number, because the mean of its divisors is an integer number (57712500).

Almost surely, 22305260216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305260216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600000).

2305260216 is an abundant number, since it is smaller than the sum of its proper divisors (5081939784).

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

2305260216 is a wasteful number, since it uses less digits than its factorization.

2305260216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14378 (or 14368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2305260216 is about 48013.1254554419. The cubic root of 2305260216 is about 1321.0116624692.

Adding to 2305260216 its reverse (6120625032), we get a palindrome (8425885248).

The spelling of 2305260216 in words is "two billion, three hundred five million, two hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4494 5778 5992 6741 7704 8988 11556 13482 14249 17976 20223 23112 26964 28498 40446 42747 53928 56996 80892 85494 99743 113992 128241 161784 170988 199486 256482 299229 341976 384723 398972 512964 598458 769446 797944 897687 1025928 1196916 1524643 1538892 1795374 2393832 2693061 3049286 3077784 3590748 4573929 5386122 6098572 7181496 9147858 10672501 10772244 12197144 13721787 18295716 21345002 21544488 27443574 32017503 36591432 41165361 42690004 54887148 64035006 82330722 85380008 96052509 109774296 128070012 164661444 192105018 256140024 288157527 329322888 384210036 576315054 768420072 1152630108 2305260216