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45225 = 335267
BaseRepresentation
bin1011000010101001
32022001000
423002221
52421400
6545213
7245565
oct130251
968030
1045225
1130a84
1222209
131777b
14126a5
15d600
hexb0a9

45225 has 24 divisors (see below), whose sum is σ = 84320. Its totient is φ = 23760.

The previous prime is 45197. The next prime is 45233. The reversal of 45225 is 52254.

It is not a de Polignac number, because 45225 - 26 = 45161 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45198 and 45207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642 + ... + 708.

245225 is an apocalyptic number.

45225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45225 is a deficient number, since it is larger than the sum of its proper divisors (39095).

45225 is a wasteful number, since it uses less digits than its factorization.

45225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 45225 is about 212.6617031814. The cubic root of 45225 is about 35.6281160709.

Adding to 45225 its reverse (52254), we get a palindrome (97479).

The spelling of 45225 in words is "forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 67 75 135 201 225 335 603 675 1005 1675 1809 3015 5025 9045 15075 45225