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226075473 = 32132338293
BaseRepresentation
bin11010111100110…
…10001101010001
3120202101211020200
431132122031101
5430333403343
634233325413
75413416111
oct1536321521
9522354220
10226075473
11106682938
1263866869
1337ab6b90
142204d041
1514caa4d3
hexd79a351

226075473 has 24 divisors (see below), whose sum is σ = 353224872. Its totient is φ = 138509568.

The previous prime is 226075453. The next prime is 226075481. The reversal of 226075473 is 374570622.

It is a happy number.

226075473 is a `hidden beast` number, since 2 + 2 + 607 + 5 + 47 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 223293249 = 1668^2 + 14943^2 .

It is not a de Polignac number, because 226075473 - 220 = 225026897 is a prime.

It is a super-3 number, since 3×2260754733 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (226075403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23115 + ... + 31407.

It is an arithmetic number, because the mean of its divisors is an integer number (14717703).

Almost surely, 2226075473 is an apocalyptic number.

It is an amenable number.

226075473 is a deficient number, since it is larger than the sum of its proper divisors (127149399).

226075473 is a wasteful number, since it uses less digits than its factorization.

226075473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 226075473 is about 15035.8063634778. The cubic root of 226075473 is about 609.1877328157.

The spelling of 226075473 in words is "two hundred twenty-six million, seventy-five thousand, four hundred seventy-three".

Divisors: 1 3 9 13 39 117 233 699 2097 3029 8293 9087 24879 27261 74637 107809 323427 970281 1932269 5796807 17390421 25119497 75358491 226075473