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226556217 = 3337226783
BaseRepresentation
bin11011000000011…
…11100100111001
3120210022020201000
431200033210321
5430444244332
634251515213
75420460516
oct1540174471
9523266630
10226556217
11106981048
1263a58b09
1337c24944
142213630d
1514d52b7c
hexd80f939

226556217 has 16 divisors (see below), whose sum is σ = 344711680. Its totient is φ = 146954736.

The previous prime is 226556203. The next prime is 226556227. The reversal of 226556217 is 712655622.

226556217 is a `hidden beast` number, since 2 + 26 + 5 + 5 + 621 + 7 = 666.

226556217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226556217 - 27 = 226556089 is a prime.

It is a super-2 number, since 2×2265562172 = 102655438922702178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226556227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112393 + ... + 114390.

It is an arithmetic number, because the mean of its divisors is an integer number (21544480).

Almost surely, 2226556217 is an apocalyptic number.

226556217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226556217 is a deficient number, since it is larger than the sum of its proper divisors (118155463).

226556217 is a wasteful number, since it uses less digits than its factorization.

226556217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226829 (or 226823 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 226556217 is about 15051.7845121434. The cubic root of 226556217 is about 609.6192347378.

The spelling of 226556217 in words is "two hundred twenty-six million, five hundred fifty-six thousand, two hundred seventeen".

Divisors: 1 3 9 27 37 111 333 999 226783 680349 2041047 6123141 8390971 25172913 75518739 226556217