Search a number
-
+
2296316600 = 2352471911279
BaseRepresentation
bin1000100011011111…
…0000001010111000
312221000220222011222
42020313300022320
514200324112400
61015510011212
7110622240404
oct21067601270
95830828158
102296316600
11a79235716
12541046b08
132a7985726
1417ad90104
15d68e5185
hex88df02b8

2296316600 has 96 divisors (see below), whose sum is σ = 5485363200. Its totient is φ = 893577600.

The previous prime is 2296316593. The next prime is 2296316609. The reversal of 2296316600 is 66136922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296316609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794761 + ... + 1796039.

It is an arithmetic number, because the mean of its divisors is an integer number (57139200).

Almost surely, 22296316600 is an apocalyptic number.

2296316600 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 2296316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742681600).

2296316600 is an abundant number, since it is smaller than the sum of its proper divisors (3189046600).

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

2296316600 is a wasteful number, since it uses less digits than its factorization.

2296316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 2296316600 is about 47919.8977461346. The cubic root of 2296316600 is about 1319.3010915956.

The spelling of 2296316600 in words is "two billion, two hundred ninety-six million, three hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 191 200 235 376 382 470 764 940 955 1175 1279 1528 1880 1910 2350 2558 3820 4700 4775 5116 6395 7640 8977 9400 9550 10232 12790 17954 19100 25580 31975 35908 38200 44885 51160 60113 63950 71816 89770 120226 127900 179540 224425 240452 244289 255800 300565 359080 448850 480904 488578 601130 897700 977156 1202260 1221445 1502825 1795400 1954312 2404520 2442890 3005650 4885780 6011300 6107225 9771560 11481583 12022600 12214450 22963166 24428900 45926332 48857800 57407915 91852664 114815830 229631660 287039575 459263320 574079150 1148158300 2296316600