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2230332011000 = 235323619915643
BaseRepresentation
bin100000011101001010001…
…001011011000111111000
321220012212200011100022022
4200131022021123013320
5243020204443323000
64424333403214012
7320064464203022
oct40351211330770
97805780140268
102230332011000
1178a973303875
12300305817308
1313241c973842
1479d3d123012
153d0392ae585
hex2074a25b1f8

2230332011000 has 128 divisors (see below), whose sum is σ = 5447115648000. Its totient is φ = 853152220800.

The previous prime is 2230332010987. The next prime is 2230332011027. The reversal of 2230332011000 is 1102330322.

It is a self number, because there is not a number n which added to its sum of digits gives 2230332011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142569179 + ... + 142584821.

It is an arithmetic number, because the mean of its divisors is an integer number (42555591000).

Almost surely, 22230332011000 is an apocalyptic number.

2230332011000 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 2230332011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723557824000).

2230332011000 is an abundant number, since it is smaller than the sum of its proper divisors (3216783637000).

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

2230332011000 is a wasteful number, since it uses less digits than its factorization.

2230332011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21886 (or 21872 counting only the distinct ones).

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

Adding to 2230332011000 its reverse (1102330322), we get a palindrome (2231434341322).

The spelling of 2230332011000 in words is "two trillion, two hundred thirty billion, three hundred thirty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 6199 11500 12398 15643 23000 24796 30995 31286 49592 61990 62572 78215 123980 125144 142577 154975 156430 247960 285154 309950 312860 359789 391075 570308 619900 625720 712885 719578 774875 782150 1140616 1239800 1425770 1439156 1549750 1564300 1798945 1955375 2851540 2878312 3099500 3128600 3564425 3597890 3910750 5703080 6199000 7128850 7195780 7821500 8994725 14257700 14391560 15643000 17822125 17989450 28515400 35644250 35978900 44973625 71288500 71957800 89947250 96970957 142577000 179894500 193941914 359789000 387883828 484854785 775767656 969709570 1939419140 2230332011 2424273925 3878838280 4460664022 4848547850 8921328044 9697095700 11151660055 12121369625 17842656088 19394191400 22303320110 24242739250 44606640220 48485478500 55758300275 89213280440 96970957000 111516600550 223033201100 278791501375 446066402200 557583002750 1115166005500 2230332011000