Search a number
-
+
2320310200 = 2352138211087
BaseRepresentation
bin1000101001001101…
…0001111110111000
312222201001222012211
42022103101332320
514222444411300
61022124144504
7111333211525
oct21223217670
95881058184
102320310200
11a9083343a
12549098134
132ac936820
1418023814c
15d8a844ba
hex8a4d1fb8

2320310200 has 96 divisors (see below), whose sum is σ = 5822127360. Its totient is φ = 854899200.

The previous prime is 2320310197. The next prime is 2320310203. The reversal of 2320310200 is 20130232.

It is a happy number.

2320310200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2320310197) and next prime (2320310203).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320310203) 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, 2134057 + ... + 2135143.

It is an arithmetic number, because the mean of its divisors is an integer number (60647160).

Almost surely, 22320310200 is an apocalyptic number.

2320310200 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 2320310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911063680).

2320310200 is an abundant number, since it is smaller than the sum of its proper divisors (3501817160).

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

2320310200 is a wasteful number, since it uses less digits than its factorization.

2320310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2320310200 is about 48169.5982960207. The cubic root of 2320310200 is about 1323.8801883168.

Adding to 2320310200 its reverse (20130232), we get a palindrome (2340440432).

The spelling of 2320310200 in words is "two billion, three hundred twenty million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 821 1087 1300 1642 2174 2600 3284 4105 4348 5435 6568 8210 8696 10673 10870 14131 16420 20525 21346 21740 27175 28262 32840 41050 42692 43480 53365 54350 56524 70655 82100 85384 106730 108700 113048 141310 164200 213460 217400 266825 282620 353275 426920 533650 565240 706550 892427 1067300 1413100 1784854 2134600 2826200 3569708 4462135 7139416 8924270 11601551 17848540 22310675 23203102 35697080 44621350 46406204 58007755 89242700 92812408 116015510 178485400 232031020 290038775 464062040 580077550 1160155100 2320310200