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2323113200 = 245259173569
BaseRepresentation
bin1000101001110111…
…1110010011110000
312222220100101012122
42022131332103300
514224204110300
61022304213412
7111366064532
oct21235762360
95886311178
102323113200
11a92378371
1254a00a268
132b03a85c5
14180767852
15d8e39c85
hex8a77e4f0

2323113200 has 120 divisors (see below), whose sum is σ = 5718718800. Its totient is φ = 906618880.

The previous prime is 2323113197. The next prime is 2323113251. The reversal of 2323113200 is 23113232.

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 23 ways as a sum of consecutive naturals, for example, 4082516 + ... + 4083084.

It is an arithmetic number, because the mean of its divisors is an integer number (47655990).

Almost surely, 22323113200 is an apocalyptic number.

2323113200 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 2323113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859359400).

2323113200 is an abundant number, since it is smaller than the sum of its proper divisors (3395605600).

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

2323113200 is a wasteful number, since it uses less digits than its factorization.

2323113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2323113200 is about 48198.6846293548. The cubic root of 2323113200 is about 1324.4130686338.

Adding to 2323113200 its reverse (23113232), we get a palindrome (2346226432).

The spelling of 2323113200 in words is "two billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 173 200 236 295 346 400 472 569 590 692 865 944 1138 1180 1384 1475 1730 2276 2360 2768 2845 2950 3460 4325 4552 4720 5690 5900 6920 8650 9104 10207 11380 11800 13840 14225 17300 20414 22760 23600 28450 33571 34600 40828 45520 51035 56900 67142 69200 81656 98437 102070 113800 134284 163312 167855 196874 204140 227600 255175 268568 335710 393748 408280 492185 510350 537136 671420 787496 816560 839275 984370 1020700 1342840 1574992 1678550 1968740 2041400 2460925 2685680 3357100 3937480 4082800 4921850 5807783 6714200 7874960 9843700 11615566 13428400 19687400 23231132 29038915 39374800 46462264 58077830 92924528 116155660 145194575 232311320 290389150 464622640 580778300 1161556600 2323113200