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2200013130 = 2357471371627
BaseRepresentation
bin1000001100100001…
…1000100101001010
312200022201020122210
42003020120211022
514001200410010
61002145525550
7105342542310
oct20310304512
95608636583
102200013130
11a29939477
125149438b6
13290a37623
1416c2820b0
15cd220b20
hex8321894a

2200013130 has 128 divisors (see below), whose sum is σ = 6211510272. Its totient is φ = 488268288.

The previous prime is 2200013113. The next prime is 2200013201. The reversal of 2200013130 is 313100022.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1351377 + ... + 1353003.

It is an arithmetic number, because the mean of its divisors is an integer number (48527424).

Almost surely, 22200013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105755136).

2200013130 is an abundant number, since it is smaller than the sum of its proper divisors (4011497142).

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

2200013130 is a wasteful number, since it uses less digits than its factorization.

2200013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2200013130 is about 46904.2975642957. The cubic root of 2200013130 is about 1300.5940342350.

Adding to 2200013130 its reverse (313100022), we get a palindrome (2513113152).

The spelling of 2200013130 in words is "two billion, two hundred million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 137 141 210 235 274 282 329 411 470 658 685 705 822 959 987 1370 1410 1627 1645 1918 1974 2055 2877 3254 3290 4110 4795 4881 4935 5754 6439 8135 9590 9762 9870 11389 12878 14385 16270 19317 22778 24405 28770 32195 34167 38634 45073 48810 56945 64390 68334 76469 90146 96585 113890 135219 152938 170835 193170 222899 225365 229407 270438 341670 382345 445798 450730 458814 535283 668697 676095 764690 1070566 1114495 1147035 1337394 1352190 1560293 1605849 2228990 2294070 2676415 3120586 3211698 3343485 4680879 5352830 6686970 7801465 8029245 9361758 10476253 15602930 16058490 20952506 23404395 31428759 46808790 52381265 62857518 73333771 104762530 146667542 157143795 220001313 314287590 366668855 440002626 733337710 1100006565 2200013130