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12159225 = 3252134157
BaseRepresentation
bin101110011000…
…100011111001
3211212202022200
4232120203321
511103043400
61112340413
7205231431
oct56304371
924782280
1012159225
116955451
1240a4709
132699610
1418872c1
151102b00
hexb988f9

12159225 has 36 divisors (see below), whose sum is σ = 23459436. Its totient is φ = 5984640.

The previous prime is 12159187. The next prime is 12159281. The reversal of 12159225 is 52295121.

It can be written as a sum of positive squares in 6 ways, for example, as 1505529 + 10653696 = 1227^2 + 3264^2 .

It is not a de Polignac number, because 12159225 - 213 = 12151033 is a prime.

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, 847 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (651651).

Almost surely, 212159225 is an apocalyptic number.

12159225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12159225 is a deficient number, since it is larger than the sum of its proper divisors (11300211).

12159225 is a wasteful number, since it uses less digits than its factorization.

12159225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4178 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 12159225 is about 3487.0080298158. The cubic root of 12159225 is about 229.9509977522.

It can be divided in two parts, 1215 and 9225, that added together give a triangular number (10440 = T144).

The spelling of 12159225 in words is "twelve million, one hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 4157 12471 20785 37413 54041 62355 103925 162123 187065 270205 311775 486369 810615 935325 1351025 2431845 4053075 12159225