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14210231200 = 2552117332203
BaseRepresentation
bin11010011101111111…
…01110101110100000
31100200100001112120021
431032333232232200
5213100304344300
610310022323224
71012066654324
oct151677565640
940610045507
1014210231200
11603233a030
122906b89514
131456039039
1498b39d984
1558280dd1a
hex34efeeba0

14210231200 has 144 divisors (see below), whose sum is σ = 37913260896. Its totient is φ = 5157964800.

The previous prime is 14210231179. The next prime is 14210231207. The reversal of 14210231200 is 213201241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14210231207) 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, 6449299 + ... + 6451501.

It is an arithmetic number, because the mean of its divisors is an integer number (263286534).

Almost surely, 214210231200 is an apocalyptic number.

14210231200 is a gapful number since it is divisible by the number (10) 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 14210231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18956630448).

14210231200 is an abundant number, since it is smaller than the sum of its proper divisors (23703029696).

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

14210231200 is a wasteful number, since it uses less digits than its factorization.

14210231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14210231200 its reverse (213201241), we get a palindrome (14423432441).

The spelling of 14210231200 in words is "fourteen billion, two hundred ten million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 733 800 880 1100 1466 1760 2200 2203 2932 3665 4400 4406 5864 7330 8063 8800 8812 11015 11728 14660 16126 17624 18325 22030 23456 24233 29320 32252 35248 36650 40315 44060 48466 55075 58640 64504 70496 73300 80630 88120 96932 110150 117280 121165 129008 146600 161260 176240 193864 201575 220300 242330 258016 293200 322520 352480 387728 403150 440600 484660 586400 605825 645040 775456 806300 881200 969320 1211650 1290080 1612600 1614799 1762400 1938640 2423300 3225200 3229598 3877280 4846600 6450400 6459196 8073995 9693200 12918392 16147990 17762789 19386400 25836784 32295980 35525578 40369975 51673568 64591960 71051156 80739950 88813945 129183920 142102312 161479900 177627890 258367840 284204624 322959800 355255780 444069725 568409248 645919600 710511560 888139450 1291839200 1421023120 1776278900 2842046240 3552557800 7105115600 14210231200