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226412209 = 4123672
BaseRepresentation
bin11010111111011…
…00011010110001
3120210000221011101
431133230122301
5430430142314
634244444401
75416320622
oct1537543261
9523027141
10226412209
11106892931
12639a9701
1337ba422a
14220d9a49
1514d25174
hexd7ec6b1

226412209 has 9 divisors (see below), whose sum is σ = 232703211. Its totient is φ = 220288080.

The previous prime is 226412203. The next prime is 226412233. The reversal of 226412209 is 902214622.

The square root of 226412209 is 15047.

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

It can be written as a sum of positive squares in only one way, i.e., 10909809 + 215502400 = 3303^2 + 14680^2 .

It is not a de Polignac number, because 226412209 - 25 = 226412177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226412203) 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 8 ways as a sum of consecutive naturals, for example, 616744 + ... + 617110.

Almost surely, 2226412209 is an apocalyptic number.

226412209 is the 15047-th square number.

226412209 is the 7524-th centered octagonal number.

It is an amenable number.

226412209 is a deficient number, since it is larger than the sum of its proper divisors (6291002).

226412209 is an frugal number, since it uses more digits than its factorization.

226412209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 226412209 is about 609.4900414108.

The spelling of 226412209 in words is "two hundred twenty-six million, four hundred twelve thousand, two hundred nine".

Divisors: 1 41 367 1681 15047 134689 616927 5522249 226412209