Search a number
-
+
2198107125 = 3453239439
BaseRepresentation
bin1000001100000100…
…0111001111110101
312200012010102010000
42003001013033311
514000203412000
61002041021513
7105320413404
oct20301071765
95605112100
102198107125
11a28857465
12514184899
1329051ac06
1416bd0763b
15cce96000
hex830473f5

2198107125 has 80 divisors (see below), whose sum is σ = 4276546560. Its totient is φ = 1121234400.

The previous prime is 2198107061. The next prime is 2198107141. The reversal of 2198107125 is 5217018912.

It is a happy number.

It is not a de Polignac number, because 2198107125 - 26 = 2198107061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2198107125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228156 + ... + 237594.

It is an arithmetic number, because the mean of its divisors is an integer number (53456832).

Almost surely, 22198107125 is an apocalyptic number.

2198107125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2198107125 is a deficient number, since it is larger than the sum of its proper divisors (2078439435).

2198107125 is an equidigital number, since it uses as much as digits as its factorization.

2198107125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 2198107125 is about 46883.9751407664. The cubic root of 2198107125 is about 1300.2183311800.

The spelling of 2198107125 in words is "two billion, one hundred ninety-eight million, one hundred seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 125 135 207 225 345 375 405 575 621 675 1035 1125 1725 1863 2025 2875 3105 3375 5175 8625 9315 9439 10125 15525 25875 28317 46575 47195 77625 84951 141585 217097 232875 235975 254853 424755 651291 707925 764559 1085485 1179875 1274265 1953873 2123775 3256455 3539625 3822795 5427425 5861619 6371325 9769365 10618875 16282275 17584857 19113975 27137125 29308095 31856625 48846825 81411375 87924285 95569875 146540475 244234125 439621425 732702375 2198107125