Search a number
-
+
2230311013200 = 243352206510279
BaseRepresentation
bin100000011101001000111…
…001010100101101010000
321220012211012122112202000
4200131020321110231100
5243020134104410300
64424331333154000
7320064120546654
oct40351071245520
97805735575660
102230311013200
1178a962471916
123002ba78b900
131324185011ca
1479d3a418a64
153d037512c00
hex20748e54b50

2230311013200 has 120 divisors (see below), whose sum is σ = 7938255163200. Its totient is φ = 594749600640.

The previous prime is 2230311013187. The next prime is 2230311013213. The reversal of 2230311013200 is 23101130322.

2230311013200 is a `hidden beast` number, since 2 + 2 + 30 + 311 + 0 + 1 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2230311013187) and next prime (2230311013213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103244340 + ... + 103265939.

It is an arithmetic number, because the mean of its divisors is an integer number (66152126360).

Almost surely, 22230311013200 is an apocalyptic number.

2230311013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230311013200 is an abundant number, since it is smaller than the sum of its proper divisors (5707944150000).

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

2230311013200 is a wasteful number, since it uses less digits than its factorization.

2230311013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206510306 (or 206510289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2230311013200 its reverse (23101130322), we get a palindrome (2253412143522).

The spelling of 2230311013200 in words is "two trillion, two hundred thirty billion, three hundred eleven million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 206510279 413020558 619530837 826041116 1032551395 1239061674 1652082232 1858592511 2065102790 2478123348 3097654185 3304164464 3717185022 4130205580 4956246696 5162756975 5575777533 6195308370 7434370044 8260411160 9292962555 9912493392 10325513950 11151555066 12390616740 14868740088 15488270925 16520822320 18585925110 20651027900 22303110132 24781233480 27878887665 29737480176 30976541850 37171850220 41302055800 44606220264 46464812775 49562466960 55757775330 61953083700 74343700440 82604111600 89212440528 92929625550 111515550660 123906167400 139394438325 148687400880 185859251100 223031101320 247812334800 278788876650 371718502200 446062202640 557577753300 743437004400 1115155506600 2230311013200