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65044225 = 5216132
BaseRepresentation
bin1111100000011…
…1111100000001
311112101120220101
43320013330001
5113122403400
610242042401
71416603211
oct370077401
9145346811
1065044225
1133796764
1219949401
1310624c0c
1488d2241
155a9c56a
hex3e07f01

65044225 has 9 divisors (see below), whose sum is σ = 80704873. Its totient is φ = 52003120.

The previous prime is 65044219. The next prime is 65044237. The reversal of 65044225 is 52244056.

The square root of 65044225 is 8065.

It is a perfect power (a square), and thus also a powerful number.

65044225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16129 + 65028096 = 127^2 + 8064^2 .

It is not a de Polignac number, because 65044225 - 223 = 56655617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65044193 and 65044202.

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 8 ways as a sum of consecutive naturals, for example, 39519 + ... + 41131.

Almost surely, 265044225 is an apocalyptic number.

65044225 is the 8065-th square number.

65044225 is the 4033-rd centered octagonal number.

It is an amenable number.

65044225 is a deficient number, since it is larger than the sum of its proper divisors (15660648).

65044225 is an frugal number, since it uses more digits than its factorization.

65044225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The cubic root of 65044225 is about 402.1637431840.

The spelling of 65044225 in words is "sixty-five million, forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 1613 8065 40325 2601769 13008845 65044225