Search a number
-
+
232012222301200 = 245211192775265817
BaseRepresentation
bin110100110000001110001110…
…000110000000010000010000
31010102111011002200120220021211
4310300032032012000100100
5220402242012402114300
62141240535444025504
766604221104245225
oct6460161606002020
91112434080526254
10232012222301200
1167a20915a40a60
1222031633992294
139c5c87418bc83
144141646bc794c
151bc5284d784ba
hexd3038e180410

232012222301200 has 120 divisors (see below), whose sum is σ = 640087308263520. Its totient is φ = 79927655500800.

The previous prime is 232012222301177. The next prime is 232012222301201. The reversal of 232012222301200 is 2103222210232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (232012222301201) 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, 1387549309 + ... + 1387716508.

It is an arithmetic number, because the mean of its divisors is an integer number (5334060902196).

Almost surely, 2232012222301200 is an apocalyptic number.

232012222301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012222301200 is an abundant number, since it is smaller than the sum of its proper divisors (408075085962320).

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

232012222301200 is a wasteful number, since it uses less digits than its factorization.

232012222301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775265865 (or 2775265854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 232012222301200 its reverse (2103222210232), we get a palindrome (234115444511432).

The spelling of 232012222301200 in words is "two hundred thirty-two trillion, twelve billion, two hundred twenty-two million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 2775265817 5550531634 11101063268 13876329085 22202126536 27752658170 30527923987 44404253072 52730050523 55505316340 61055847974 69381645425 105460101046 111010632680 122111695948 138763290850 152639619935 210920202092 222021265360 244223391896 263650252615 277526581700 305279239870 421840404184 488446783792 527300505230 555053163400 580030555753 610558479740 763198099675 843680808368 1054601010460 1110106326800 1160061111506 1221116959480 1318251263075 1526396199350 2109202020920 2320122223012 2442233918960 2636502526150 2900152778765 3052792398700 4218404041840 4640244446024 5273005052300 5800305557530 6105584797400 9280488892048 10546010104600 11600611115060 12211169594800 14500763893825 21092020209200 23201222230120 29001527787650 46402444460240 58003055575300 116006111150600 232012222301200