Search a number
-
+
2004122198 = 2132910724841
BaseRepresentation
bin111011101110100…
…0111101001010110
312011200002221211002
41313131013221112
513101023402243
6530511143302
7100443520601
oct16735075126
95150087732
102004122198
11939302741
1247b214b32
1325c28b730
1415024d338
15bae28eb8
hex77747a56

2004122198 has 32 divisors (see below), whose sum is σ = 3380499360. Its totient is φ = 884701440.

The previous prime is 2004122179. The next prime is 2004122209. The reversal of 2004122198 is 8912214002.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2004122198.

It is a congruent number.

It is an unprimeable number.

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, 68258 + ... + 93098.

It is an arithmetic number, because the mean of its divisors is an integer number (105640605).

Almost surely, 22004122198 is an apocalyptic number.

2004122198 is a deficient number, since it is larger than the sum of its proper divisors (1376377162).

2004122198 is a wasteful number, since it uses less digits than its factorization.

2004122198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24992.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2004122198 is about 44767.4234013976. The cubic root of 2004122198 is about 1260.7860632128.

The spelling of 2004122198 in words is "two billion, four million, one hundred twenty-two thousand, one hundred ninety-eight".

Divisors: 1 2 13 26 29 58 107 214 377 754 1391 2782 3103 6206 24841 40339 49682 80678 322933 645866 720389 1440778 2657987 5315974 9365057 18730114 34553831 69107662 77081623 154163246 1002061099 2004122198