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2841831225 = 3252311812251
BaseRepresentation
bin1010100101100010…
…1110011100111001
321100001101222120100
42221120232130321
521310002044400
61145554150013
7130265111142
oct25130563471
97301358510
102841831225
111229159952
12673882309
133639b544c
141cd5d2ac9
1511974e100
hexa962e739

2841831225 has 72 divisors (see below), whose sum is σ = 5285606144. Its totient is φ = 1458000000.

The previous prime is 2841831211. The next prime is 2841831227. The reversal of 2841831225 is 5221381482.

It is a happy number.

It is not a de Polignac number, because 2841831225 - 217 = 2841700153 is a prime.

It is a super-2 number, since 2×28418312252 = 16152009422770001250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2841831225.

It is not an unprimeable number, because it can be changed into a prime (2841831227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1261350 + ... + 1263600.

Almost surely, 22841831225 is an apocalyptic number.

2841831225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2841831225 is a deficient number, since it is larger than the sum of its proper divisors (2443774919).

2841831225 is a wasteful number, since it uses less digits than its factorization.

2841831225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2471 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2841831225 is about 53308.8287716022. The cubic root of 2841831225 is about 1416.4440592939. Note that the first 3 decimals are identical.

The spelling of 2841831225 in words is "two billion, eight hundred forty-one million, eight hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 181 225 279 465 543 775 905 1395 1629 2251 2325 2715 4525 5611 6753 6975 8145 11255 13575 16833 20259 28055 33765 40725 50499 56275 69781 84165 101295 140275 168825 209343 252495 348905 407431 420825 506475 628029 1046715 1222293 1262475 1744525 2037155 3140145 3666879 5233575 6111465 10185775 12630361 15700725 18334395 30557325 37891083 63151805 91671975 113673249 189455415 315759025 568366245 947277075 2841831225