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14706220200 = 23352731112951
BaseRepresentation
bin11011011001000111…
…10001110010101000
31101221220100101120020
431230203301302220
5220104243021300
610431141200440
71030301544360
oct155443616250
941856311506
1014706220200
1162673069a1
122a25100120
131504a18559
149d71cd9a0
155b11338a0
hex36c8f1ca8

14706220200 has 192 divisors, whose sum is σ = 53783224320. Its totient is φ = 3252960000.

The previous prime is 14706220187. The next prime is 14706220253. The reversal of 14706220200 is 202260741.

14706220200 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 (24).

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 47 ways as a sum of consecutive naturals, for example, 73725 + ... + 186675.

It is an arithmetic number, because the mean of its divisors is an integer number (280120960).

Almost surely, 214706220200 is an apocalyptic number.

14706220200 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 14706220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26891612160).

14706220200 is an abundant number, since it is smaller than the sum of its proper divisors (39077004120).

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

14706220200 is a wasteful number, since it uses less digits than its factorization.

14706220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113008 (or 112999 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 14706220200 its reverse (202260741), we get a palindrome (14908480941).

The spelling of 14706220200 in words is "fourteen billion, seven hundred six million, two hundred twenty thousand, two hundred".