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2316081800 = 2352412832
BaseRepresentation
bin1000101000001100…
…1001101010001000
312222102010010221102
42022003021222020
514220404104200
61021453400532
7111252241034
oct21203115210
95872103842
102316081800
11a8940559a
12547799148
132abab6006
1417d8571c4
15d84eb6d5
hex8a0c9a88

2316081800 has 108 divisors (see below), whose sum is σ = 5586732735. Its totient is φ = 892947200.

The previous prime is 2316081797. The next prime is 2316081809. The reversal of 2316081800 is 81806132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 14577124 + 2301504676 = 3818^2 + 47974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34030.

It is not an unprimeable number, because it can be changed into a prime (2316081809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27904559 + ... + 27904641.

Almost surely, 22316081800 is an apocalyptic number.

2316081800 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 2316081800

2316081800 is an abundant number, since it is smaller than the sum of its proper divisors (3270650935).

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

2316081800 is an equidigital number, since it uses as much as digits as its factorization.

2316081800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2316081800 is about 48125.6875275564. The cubic root of 2316081800 is about 1323.0755115883.

Adding to 2316081800 its reverse (81806132), we get a palindrome (2397887932).

The spelling of 2316081800 in words is "two billion, three hundred sixteen million, eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 83 100 164 166 200 205 328 332 410 415 664 820 830 1025 1640 1660 1681 2050 2075 3320 3362 3403 4100 4150 6724 6806 6889 8200 8300 8405 13448 13612 13778 16600 16810 17015 27224 27556 33620 34030 34445 42025 55112 67240 68060 68890 84050 85075 136120 137780 139523 168100 170150 172225 275560 279046 282449 336200 340300 344450 558092 564898 680600 688900 697615 1116184 1129796 1377800 1395230 1412245 2259592 2790460 2824490 3488075 5580920 5648980 6976150 7061225 11297960 11580409 13952300 14122450 23160818 27904600 28244900 46321636 56489800 57902045 92643272 115804090 231608180 289510225 463216360 579020450 1158040900 2316081800