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225948573 = 32238391301
BaseRepresentation
bin11010111011110…
…11001110011101
3120202011101011200
431131323032131
5430320323243
634230510113
75412350124
oct1535731635
9522141150
10225948573
111065a6564
1263805339
1337a711a6
1422018abb
1514c82ad3
hexd77b39d

225948573 has 24 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 143800800.

The previous prime is 225948563. The next prime is 225948577. The reversal of 225948573 is 375849522.

225948573 is a `hidden beast` number, since 2 + 2 + 594 + 8 + 57 + 3 = 666.

It is not a de Polignac number, because 225948573 - 26 = 225948509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225948577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173023 + ... + 174323.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2225948573 is an apocalyptic number.

225948573 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

225948573 is a deficient number, since it is larger than the sum of its proper divisors (115279587).

225948573 is a wasteful number, since it uses less digits than its factorization.

225948573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2166 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 225948573 is about 15031.5858444809. The cubic root of 225948573 is about 609.0737290111.

The spelling of 225948573 in words is "two hundred twenty-five million, nine hundred forty-eight thousand, five hundred seventy-three".

Divisors: 1 3 9 23 69 207 839 1301 2517 3903 7551 11709 19297 29923 57891 89769 173673 269307 1091539 3274617 9823851 25105397 75316191 225948573