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225850761 = 3659289
BaseRepresentation
bin11010111011000…
…11010110001001
3120201222102000000
431131203112021
5430304211021
634224433213
75411462013
oct1535432611
9521872000
10225850761
1110653a024
1263778809
1337a38806
1421dd11b3
1514c63b26
hexd763589

225850761 has 42 divisors (see below), whose sum is σ = 348328170. Its totient is φ = 146352096.

The previous prime is 225850747. The next prime is 225850783. The reversal of 225850761 is 167058522.

It is a happy number.

225850761 is a `hidden beast` number, since 2 + 2 + 585 + 0 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 63441225 = 12744^2 + 7965^2 .

It is not a de Polignac number, because 225850761 - 29 = 225850249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225850711) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2537605 + ... + 2537693.

Almost surely, 2225850761 is an apocalyptic number.

It is an amenable number.

225850761 is a deficient number, since it is larger than the sum of its proper divisors (122477409).

225850761 is an frugal number, since it uses more digits than its factorization.

225850761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225850761 is about 15028.3319433662. The cubic root of 225850761 is about 608.9858280087.

The spelling of 225850761 in words is "two hundred twenty-five million, eight hundred fifty thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 59 81 89 177 243 267 531 729 801 1593 2403 3481 4779 5251 7209 10443 14337 15753 21627 31329 43011 47259 64881 93987 141777 281961 309809 425331 845883 929427 1275993 2537649 2788281 3827979 8364843 25094529 75283587 225850761