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13225225 = 521340693
BaseRepresentation
bin110010011100…
…110100001001
3220212220121011
4302130310021
511341201400
61151243521
7220261336
oct62346411
926786534
1013225225
117513342
1245195a1
1329808a0
141a8398d
1512638ba
hexc9cd09

13225225 has 12 divisors (see below), whose sum is σ = 17661196. Its totient is φ = 9766080.

The previous prime is 13225217. The next prime is 13225229. The reversal of 13225225 is 52252231.

13225225 = 25712 + 25722.

It can be written as a sum of positive squares in 6 ways, for example, as 1915456 + 11309769 = 1384^2 + 3363^2 .

It is not a de Polignac number, because 13225225 - 23 = 13225217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13225196 and 13225205.

It is not an unprimeable number, because it can be changed into a prime (13225229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20022 + ... + 20671.

Almost surely, 213225225 is an apocalyptic number.

13225225 is the 2572-nd centered square number.

It is an amenable number.

13225225 is a deficient number, since it is larger than the sum of its proper divisors (4435971).

13225225 is a wasteful number, since it uses less digits than its factorization.

13225225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40716 (or 40711 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 13225225 is about 3636.6502443870. The cubic root of 13225225 is about 236.4835973230.

Adding to 13225225 its reverse (52252231), we get a palindrome (65477456).

It can be divided in two parts, 13225 and 225, that multiplied together give a square (2975625 = 17252).

The spelling of 13225225 in words is "thirteen million, two hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 40693 203465 529009 1017325 2645045 13225225