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14202302022200 = 235237103107174143
BaseRepresentation
bin1100111010101011101100…
…1010101100001000111000
31212021201121211212111001102
43032222323022230020320
53330142303304202300
650112240353310532
72664040166230415
oct316527312541070
955251554774042
1014202302022200
114586187269176
121714602265448
137c036b175826
1437157618710c
1519967b4e30d5
hexceabb2ac238

14202302022200 has 192 divisors, whose sum is σ = 34562262159360. Its totient is φ = 5422531115520.

The previous prime is 14202302022133. The next prime is 14202302022211. The reversal of 14202302022200 is 222020320241.

14202302022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81468329 + ... + 81642471.

It is an arithmetic number, because the mean of its divisors is an integer number (180011782080).

Almost surely, 214202302022200 is an apocalyptic number.

14202302022200 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 14202302022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281131079680).

14202302022200 is an abundant number, since it is smaller than the sum of its proper divisors (20359960137160).

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

14202302022200 is a wasteful number, since it uses less digits than its factorization.

14202302022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174406 (or 174397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14202302022200 its reverse (222020320241), we get a palindrome (14424322342441).

The spelling of 14202302022200 in words is "fourteen trillion, two hundred two billion, three hundred two million, twenty-two thousand, two hundred".