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2114005200 = 243521761671
BaseRepresentation
bin111111000000001…
…0010100011010000
312110022212120221220
41332000102203100
513312141131300
6545434245040
7103246514316
oct17600224320
95408776856
102114005200
1199533443a
124abb86780
13278c82768
14160a940b6
15c58d1da0
hex7e0128d0

2114005200 has 60 divisors (see below), whose sum is σ = 6771867168. Its totient is φ = 563734400.

The previous prime is 2114005169. The next prime is 2114005213. The reversal of 2114005200 is 25004112.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2114005200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879636 + ... + 882035.

Almost surely, 22114005200 is an apocalyptic number.

2114005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114005200 is an abundant number, since it is smaller than the sum of its proper divisors (4657861968).

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

2114005200 is a wasteful number, since it uses less digits than its factorization.

2114005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761692 (or 1761681 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2114005200 is about 45978.3122787255. The cubic root of 2114005200 is about 1283.4196482489.

Adding to 2114005200 its reverse (25004112), we get a palindrome (2139009312).

The spelling of 2114005200 in words is "two billion, one hundred fourteen million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1761671 3523342 5285013 7046684 8808355 10570026 14093368 17616710 21140052 26425065 28186736 35233420 42280104 44041775 52850130 70466840 84560208 88083550 105700260 132125325 140933680 176167100 211400520 264250650 352334200 422801040 528501300 704668400 1057002600 2114005200