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14332500200 = 2352711079433
BaseRepresentation
bin11010101100100100…
…01001100011101000
31100222212010110002202
431112102021203220
5213323110001300
610330111115332
71015113145604
oct152622114350
940885113082
1014332500200
116095360597
12293bb12b48
131475478965
1499d70a504
1558d411ad5
hex3564898e8

14332500200 has 96 divisors (see below), whose sum is σ = 34111834560. Its totient is φ = 5598835200.

The previous prime is 14332500197. The next prime is 14332500229. The reversal of 14332500200 is 200523341.

It is a happy number.

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

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, 1514684 + ... + 1524116.

It is an arithmetic number, because the mean of its divisors is an integer number (355331610).

Almost surely, 214332500200 is an apocalyptic number.

14332500200 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 14332500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055917280).

14332500200 is an abundant number, since it is smaller than the sum of its proper divisors (19779334360).

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

14332500200 is a wasteful number, since it uses less digits than its factorization.

14332500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 14332500200 in words is "fourteen billion, three hundred thirty-two million, five hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 107 142 200 214 284 355 428 535 568 710 856 1070 1420 1775 2140 2675 2840 3550 4280 5350 7100 7597 9433 10700 14200 15194 18866 21400 30388 37732 37985 47165 60776 75464 75970 94330 151940 188660 189925 235825 303880 377320 379850 471650 669743 759700 943300 1009331 1339486 1519400 1886600 2018662 2678972 3348715 4037324 5046655 5357944 6697430 8074648 10093310 13394860 16743575 20186620 25233275 26789720 33487150 40373240 50466550 66974300 71662501 100933100 133948600 143325002 201866200 286650004 358312505 573300008 716625010 1433250020 1791562525 2866500040 3583125050 7166250100 14332500200