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13225365 = 3252771061
BaseRepresentation
bin110010011100…
…110110010101
3220212220210100
4302130312111
511341202430
61151244313
7220261626
oct62346625
926786710
1013225365
11751345a
124519699
13298097a
141a83a4d
151263960
hexc9cd95

13225365 has 24 divisors (see below), whose sum is σ = 23028408. Its totient is φ = 7021440.

The previous prime is 13225361. The next prime is 13225369. The reversal of 13225365 is 56352231.

It is an interprime number because it is at equal distance from previous prime (13225361) and next prime (13225369).

It can be written as a sum of positive squares in 4 ways, for example, as 651249 + 12574116 = 807^2 + 3546^2 .

It is not a de Polignac number, because 13225365 - 22 = 13225361 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11935 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (959517).

Almost surely, 213225365 is an apocalyptic number.

13225365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13225365 is a deficient number, since it is larger than the sum of its proper divisors (9803043).

13225365 is a wasteful number, since it uses less digits than its factorization.

13225365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1346 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 13225365 is about 3636.6694928189. The cubic root of 13225365 is about 236.4844317786.

Adding to 13225365 its reverse (56352231), we get a palindrome (69577596).

The spelling of 13225365 in words is "thirteen million, two hundred twenty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 277 831 1061 1385 2493 3183 4155 5305 9549 12465 15915 47745 293897 881691 1469485 2645073 4408455 13225365