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14200222300 = 22521188114653
BaseRepresentation
bin11010011100110011…
…00011001001011100
31100122122020000221021
431032121203021130
5213040224103200
610305024013524
71011615620005
oct151631431134
940578200837
1014200222300
116027723210
1229037612a4
131453c43404
14989d161ac
155819d341a
hex34e66325c

14200222300 has 72 divisors (see below), whose sum is σ = 33656252112. Its totient is φ = 5157504000.

The previous prime is 14200222291. The next prime is 14200222303. The reversal of 14200222300 is 322200241.

14200222300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200222303) by changing a digit.

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, 961774 + ... + 976426.

It is an arithmetic number, because the mean of its divisors is an integer number (467447946).

Almost surely, 214200222300 is an apocalyptic number.

14200222300 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 14200222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828126056).

14200222300 is an abundant number, since it is smaller than the sum of its proper divisors (19456029812).

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

14200222300 is a wasteful number, since it uses less digits than its factorization.

14200222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14200222300 its reverse (322200241), we get a palindrome (14522422541).

The spelling of 14200222300 in words is "fourteen billion, two hundred million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 881 1100 1762 3524 4405 8810 9691 14653 17620 19382 22025 29306 38764 44050 48455 58612 73265 88100 96910 146530 161183 193820 242275 293060 322366 366325 484550 644732 732650 805915 969100 1465300 1611830 3223660 4029575 8059150 12909293 16118300 25818586 51637172 64546465 129092930 142002223 258185860 284004446 322732325 568008892 645464650 710011115 1290929300 1420022230 2840044460 3550055575 7100111150 14200222300