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2205630760 = 235737271039
BaseRepresentation
bin1000001101110111…
…0100000100101000
312200201021122121011
42003131310010220
514004120141020
61002510153304
7105441360244
oct20335640450
95621248534
102205630760
11a32026043
125167b2834
13291c53578
1416cd05424
15cd98035a
hex83774128

2205630760 has 64 divisors (see below), whose sum is σ = 5042419200. Its totient is φ = 868133376.

The previous prime is 2205630737. The next prime is 2205630761. The reversal of 2205630760 is 670365022.

It is not an unprimeable number, because it can be changed into a prime (2205630761) 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 15 ways as a sum of consecutive naturals, for example, 2122321 + ... + 2123359.

It is an arithmetic number, because the mean of its divisors is an integer number (78787800).

Almost surely, 22205630760 is an apocalyptic number.

2205630760 is a gapful number since it is divisible by the number (20) 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 2205630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521209600).

2205630760 is an abundant number, since it is smaller than the sum of its proper divisors (2836788440).

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

2205630760 is a wasteful number, since it uses less digits than its factorization.

2205630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 2205630760 is about 46964.1433436191. The cubic root of 2205630760 is about 1301.7000952314.

Adding to 2205630760 its reverse (670365022), we get a palindrome (2875995782).

The spelling of 2205630760 in words is "two billion, two hundred five million, six hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 727 730 1039 1454 1460 2078 2908 2920 3635 4156 5195 5816 7270 8312 10390 14540 20780 29080 41560 53071 75847 106142 151694 212284 265355 303388 379235 424568 530710 606776 755353 758470 1061420 1510706 1516940 2122840 3021412 3033880 3776765 6042824 7553530 15107060 30214120 55140769 110281538 220563076 275703845 441126152 551407690 1102815380 2205630760