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2014143200 = 25522517679
BaseRepresentation
bin111100000001101…
…0110001011100000
312012100222002001022
41320003112023200
513111110040300
6531510025012
7100624635416
oct17003261340
95170862038
102014143200
11943a27663
12482648168
13261389a14
141516db2b6
15bbc58285
hex780d62e0

2014143200 has 36 divisors (see below), whose sum is σ = 4917029040. Its totient is φ = 805656960.

The previous prime is 2014143199. The next prime is 2014143223. The reversal of 2014143200 is 23414102.

2014143200 = 2232 + 2242 + ... + 18222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1258040 + ... + 1259639.

It is an arithmetic number, because the mean of its divisors is an integer number (136584140).

Almost surely, 22014143200 is an apocalyptic number.

2014143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014143200 is an abundant number, since it is smaller than the sum of its proper divisors (2902885840).

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

2014143200 is a wasteful number, since it uses less digits than its factorization.

2014143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517699 (or 2517686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2014143200 is about 44879.2067666085. The cubic root of 2014143200 is about 1262.8839625527.

Adding to 2014143200 its reverse (23414102), we get a palindrome (2037557302).

The spelling of 2014143200 in words is "two billion, fourteen million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2517679 5035358 10070716 12588395 20141432 25176790 40282864 50353580 62941975 80565728 100707160 125883950 201414320 251767900 402828640 503535800 1007071600 2014143200