Search a number
-
+
232010300000 = 255517313411
BaseRepresentation
bin1101100000010011100…
…1000011101001100000
3211011212012022102001002
43120010321003221200
512300124114100000
6254330053531132
722522301003543
oct3300471035140
9734765272032
10232010300000
118a438847396
1238b6b943aa8
1318b560268ab
14b32d50685a
15607d7e78d5
hex3604e43a60

232010300000 has 144 divisors (see below), whose sum is σ = 574269275664. Its totient is φ = 92260800000.

The previous prime is 232010299993. The next prime is 232010300117. The reversal of 232010300000 is 3010232.

232010300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17293295 + ... + 17306705.

It is an arithmetic number, because the mean of its divisors is an integer number (3987981081).

Almost surely, 2232010300000 is an apocalyptic number.

232010300000 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 232010300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287134637832).

232010300000 is an abundant number, since it is smaller than the sum of its proper divisors (342258975664).

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

232010300000 is an equidigital number, since it uses as much as digits as its factorization.

232010300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619 (or 13591 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 232010300000 its reverse (3010232), we get a palindrome (232013310232).

The spelling of 232010300000 in words is "two hundred thirty-two billion, ten million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 625 692 800 865 1000 1250 1384 1730 2000 2500 2768 3125 3460 4000 4325 5000 5536 6250 6920 8650 10000 12500 13411 13840 17300 20000 21625 25000 26822 27680 34600 43250 50000 53644 67055 69200 86500 100000 107288 108125 134110 138400 173000 214576 216250 268220 335275 346000 429152 432500 536440 540625 670550 692000 865000 1072880 1081250 1341100 1676375 1730000 2145760 2162500 2320103 2682200 3352750 3460000 4325000 4640206 5364400 6705500 8381875 8650000 9280412 10728800 11600515 13411000 16763750 17300000 18560824 23201030 26822000 33527500 37121648 41909375 46402060 53644000 58002575 67055000 74243296 83818750 92804120 116005150 134110000 167637500 185608240 232010300 268220000 290012875 335275000 371216480 464020600 580025750 670550000 928041200 1160051500 1341100000 1450064375 1856082400 2320103000 2900128750 4640206000 5800257500 7250321875 9280412000 11600515000 14500643750 23201030000 29001287500 46402060000 58002575000 116005150000 232010300000