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2712000225 = 3521121717579
BaseRepresentation
bin1010000110100101…
…1101011011100001
321000000002212220210
42201221131123201
521023233001400
61125035324333
7124130423124
oct24151353341
97000085823
102712000225
111171942a00
126382b06a9
13342b2887c
141ba2783bb
1510d155950
hexa1a5d6e1

2712000225 has 72 divisors (see below), whose sum is σ = 5218728480. Its totient is φ = 1237491200.

The previous prime is 2712000223. The next prime is 2712000241. The reversal of 2712000225 is 5220002172.

It is a happy number.

2712000225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2712000225 - 21 = 2712000223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2712000223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145486 + ... + 163064.

It is an arithmetic number, because the mean of its divisors is an integer number (72482340).

Almost surely, 22712000225 is an apocalyptic number.

2712000225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2712000225 is a deficient number, since it is larger than the sum of its proper divisors (2506728255).

2712000225 is a wasteful number, since it uses less digits than its factorization.

2712000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2712000225 is about 52076.8684254343. The cubic root of 2712000225 is about 1394.5365683537.

Adding to 2712000225 its reverse (5220002172), we get a palindrome (7932002397).

The spelling of 2712000225 in words is "two billion, seven hundred twelve million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 121 165 187 255 275 363 425 561 605 825 935 1275 1815 2057 2805 3025 4675 6171 9075 10285 14025 17579 30855 51425 52737 87895 154275 193369 263685 298843 439475 580107 896529 966845 1318425 1494215 2127059 2900535 3287273 4482645 4834225 6381177 7471075 9861819 10635295 14502675 16436365 22413225 31905885 36160003 49309095 53176475 82181825 108480009 159529425 180800015 246545475 542400045 904000075 2712000225