Search a number
-
+
226088865 = 32517295541
BaseRepresentation
bin11010111100111…
…01011110100001
3120202102111121200
431132131132201
5430334320430
634233511413
75413503132
oct1536353641
9522374550
10226088865
11106691a02
1263872569
1337abccc2
1422053c89
1514cae460
hexd79d7a1

226088865 has 24 divisors (see below), whose sum is σ = 414940968. Its totient is φ = 113487360.

The previous prime is 226088813. The next prime is 226088867. The reversal of 226088865 is 568880622.

It can be written as a sum of positive squares in 4 ways, for example, as 80138304 + 145950561 = 8952^2 + 12081^2 .

It is not a de Polignac number, because 226088865 - 28 = 226088609 is a prime.

It is a super-2 number, since 2×2260888652 = 102232349753976450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 226088865.

It is not an unprimeable number, because it can be changed into a prime (226088867) 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 23 ways as a sum of consecutive naturals, for example, 147006 + ... + 148535.

It is an arithmetic number, because the mean of its divisors is an integer number (17289207).

Almost surely, 2226088865 is an apocalyptic number.

It is an amenable number.

226088865 is a deficient number, since it is larger than the sum of its proper divisors (188852103).

226088865 is a wasteful number, since it uses less digits than its factorization.

226088865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295569 (or 295566 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 226088865 is about 15036.2516938232. The cubic root of 226088865 is about 609.1997613667.

It can be divided in two parts, 2260 and 88865, that added together give a cube (91125 = 453).

The spelling of 226088865 in words is "two hundred twenty-six million, eighty-eight thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 295541 886623 1477705 2659869 4433115 5024197 13299345 15072591 25120985 45217773 75362955 226088865