Search a number
-
+
198125825 = 5219229757
BaseRepresentation
bin10111100111100…
…10100100000001
3111210210211112112
423303302210001
5401210011300
631354305105
74624020212
oct1363624401
9453724475
10198125825
11a1922957
1256428195
133207c221
141c455409
15125d8e35
hexbcf2901

198125825 has 36 divisors (see below), whose sum is σ = 268582140. Its totient is φ = 144789120.

The previous prime is 198125791. The next prime is 198125831. The reversal of 198125825 is 528521891.

It can be written as a sum of positive squares in 6 ways, for example, as 976144 + 197149681 = 988^2 + 14041^2 .

It is not a de Polignac number, because 198125825 - 26 = 198125761 is a prime.

It is a super-3 number, since 3×1981258253 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261347 + ... + 262103.

It is an arithmetic number, because the mean of its divisors is an integer number (7460615).

Almost surely, 2198125825 is an apocalyptic number.

It is an amenable number.

198125825 is a deficient number, since it is larger than the sum of its proper divisors (70456315).

198125825 is a wasteful number, since it uses less digits than its factorization.

198125825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 810 counting only the distinct ones).

The product of its digits is 57600, while the sum is 41.

The square root of 198125825 is about 14075.7175660781. The cubic root of 198125825 is about 582.9711048212.

The spelling of 198125825 in words is "one hundred ninety-eight million, one hundred twenty-five thousand, eight hundred twenty-five".

Divisors: 1 5 19 25 29 95 145 361 475 551 725 757 1805 2755 3785 9025 10469 13775 14383 18925 21953 52345 71915 109765 261725 273277 359575 417107 548825 1366385 2085535 6831925 7925033 10427675 39625165 198125825