Search a number
-
+
14243332200 = 23352173137219
BaseRepresentation
bin11010100001111100…
…00000000001101000
31100202122100020121020
431100332000001220
5213132243112300
610313204012440
71012651216566
oct152076000150
940678306536
1014243332200
116049a98329
122916091120
13145cb58626
14991938a36
1558569b8a0
hex350f80068

14243332200 has 96 divisors (see below), whose sum is σ = 44409880800. Its totient is φ = 3776239360.

The previous prime is 14243332193. The next prime is 14243332217. The reversal of 14243332200 is 223334241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 35191 + ... + 172409.

It is an arithmetic number, because the mean of its divisors is an integer number (462602925).

Almost surely, 214243332200 is an apocalyptic number.

14243332200 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 14243332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204940400).

14243332200 is an abundant number, since it is smaller than the sum of its proper divisors (30166548600).

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

14243332200 is a wasteful number, since it uses less digits than its factorization.

14243332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137411 (or 137402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 14243332200 its reverse (223334241), we get a palindrome (14466666441).

The spelling of 14243332200 in words is "fourteen billion, two hundred forty-three million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 173 200 300 346 519 600 692 865 1038 1384 1730 2076 2595 3460 4152 4325 5190 6920 8650 10380 12975 17300 20760 25950 34600 51900 103800 137219 274438 411657 548876 686095 823314 1097752 1372190 1646628 2058285 2744380 3293256 3430475 4116570 5488760 6860950 8233140 10291425 13721900 16466280 20582850 23738887 27443800 41165700 47477774 71216661 82331400 94955548 118694435 142433322 189911096 237388870 284866644 356083305 474777740 569733288 593472175 712166610 949555480 1186944350 1424333220 1780416525 2373888700 2848666440 3560833050 4747777400 7121666100 14243332200