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226560241 = 1770918797
BaseRepresentation
bin11011000000100…
…00100011110001
3120210022110020001
431200100203301
5430444411431
634251550001
75420505325
oct1540204361
9523273201
10226560241
11106984076
1263a5b301
1337c2671b
1422137985
1514d53e61
hexd8108f1

226560241 has 8 divisors (see below), whose sum is σ = 240238440. Its totient is φ = 212921088.

The previous prime is 226560223. The next prime is 226560247. The reversal of 226560241 is 142065622.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 171741025 = 7404^2 + 13105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 226560241 - 211 = 226558193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226560247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2655 + ... + 21451.

It is an arithmetic number, because the mean of its divisors is an integer number (30029805).

Almost surely, 2226560241 is an apocalyptic number.

It is an amenable number.

226560241 is a deficient number, since it is larger than the sum of its proper divisors (13678199).

226560241 is a wasteful number, since it uses less digits than its factorization.

226560241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 226560241 is about 15051.9181834077. The cubic root of 226560241 is about 609.6228439866.

It can be divided in two parts, 226560 and 241, that added together give a triangular number (226801 = T673).

The spelling of 226560241 in words is "two hundred twenty-six million, five hundred sixty thousand, two hundred forty-one".

Divisors: 1 17 709 12053 18797 319549 13327073 226560241