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225556209 = 3225061801
BaseRepresentation
bin11010111000110…
…11011011110001
3120201102102221200
431130123123301
5430220244314
634214241413
75406124164
oct1534333361
9521372850
10225556209
1110635879a
1263656269
1337964718
1421d55adb
1514c06709
hexd71b6f1

225556209 has 6 divisors (see below), whose sum is σ = 325803426. Its totient is φ = 150370800.

The previous prime is 225556157. The next prime is 225556213. The reversal of 225556209 is 902655522.

225556209 is a `hidden beast` number, since 2 + 25 + 5 + 5 + 620 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136819809 + 88736400 = 11697^2 + 9420^2 .

It is not a de Polignac number, because 225556209 - 27 = 225556081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225556259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12530892 + ... + 12530909.

It is an arithmetic number, because the mean of its divisors is an integer number (54300571).

Almost surely, 2225556209 is an apocalyptic number.

It is an amenable number.

225556209 is a deficient number, since it is larger than the sum of its proper divisors (100247217).

225556209 is a wasteful number, since it uses less digits than its factorization.

225556209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25061807 (or 25061804 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 225556209 is about 15018.5288560498. The cubic root of 225556209 is about 608.7209686973.

The spelling of 225556209 in words is "two hundred twenty-five million, five hundred fifty-six thousand, two hundred nine".

Divisors: 1 3 9 25061801 75185403 225556209