Search a number
-
+
2117755199 = 72337355507
BaseRepresentation
bin111111000111010…
…0110000100111111
312110120221002222202
41332032212010333
513314121131244
6550050502115
7103323423260
oct17616460477
95416832882
102117755199
1199746590a
124b129493b
132799965b1
1416138c967
15c5dc304e
hex7e3a613f

2117755199 has 16 divisors (see below), whose sum is σ = 2593786368. Its totient is φ = 1689364512.

The previous prime is 2117755147. The next prime is 2117755231. The reversal of 2117755199 is 9915577112.

It is a cyclic number.

It is not a de Polignac number, because 2117755199 - 28 = 2117754943 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117755999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171797 + ... + 183710.

It is an arithmetic number, because the mean of its divisors is an integer number (162111648).

Almost surely, 22117755199 is an apocalyptic number.

2117755199 is a deficient number, since it is larger than the sum of its proper divisors (476031169).

2117755199 is a wasteful number, since it uses less digits than its factorization.

2117755199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355574.

The product of its digits is 198450, while the sum is 47.

The square root of 2117755199 is about 46019.0742953398. The cubic root of 2117755199 is about 1284.1780789603.

The spelling of 2117755199 in words is "two billion, one hundred seventeen million, seven hundred fifty-five thousand, one hundred ninety-nine".

Divisors: 1 7 23 37 161 259 851 5957 355507 2488549 8176661 13153759 57236627 92076313 302536457 2117755199