Search a number
-
+
225790875 = 3353149449
BaseRepresentation
bin11010111010101…
…00101110011011
3120201212100212000
431131110232123
5430300302000
634223252043
75411122302
oct1535245633
9521770760
10225790875
111064a9032
126374a023
1337a1748b
1421db7439
1514c51000
hexd754b9b

225790875 has 64 divisors (see below), whose sum is σ = 421200000. Its totient is φ = 119347200.

The previous prime is 225790843. The next prime is 225790879. The reversal of 225790875 is 578097522.

It is a happy number.

225790875 is a `hidden beast` number, since 2 + 2 + 579 + 0 + 8 + 75 = 666.

It is not a de Polignac number, because 225790875 - 25 = 225790843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225790875.

It is not an unprimeable number, because it can be changed into a prime (225790879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502651 + ... + 503099.

It is an arithmetic number, because the mean of its divisors is an integer number (6581250).

Almost surely, 2225790875 is an apocalyptic number.

225790875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225790875 is a deficient number, since it is larger than the sum of its proper divisors (195409125).

225790875 is a wasteful number, since it uses less digits than its factorization.

225790875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 225790875 is about 15026.3393745782. The cubic root of 225790875 is about 608.9319975515.

The spelling of 225790875 in words is "two hundred twenty-five million, seven hundred ninety thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 149 225 375 447 449 675 745 1125 1341 1347 2235 2245 3375 3725 4023 4041 6705 6735 11175 11225 12123 18625 20115 20205 33525 33675 55875 56125 60615 66901 100575 101025 167625 168375 200703 303075 334505 502875 505125 602109 1003515 1515375 1672525 1806327 3010545 5017575 8362625 9031635 15052725 25087875 45158175 75263625 225790875