Search a number
-
+
565466226 = 231323117989
BaseRepresentation
bin100001101101000…
…101010001110010
31110102000122211120
4201231011101302
52124224404401
6132035523110
720004245403
oct4155052162
91412018746
10565466226
11270211166
12139459496
13901c7100
14551579aa
153499a836
hex21b45472

565466226 has 48 divisors (see below), whose sum is σ = 1264193280. Its totient is φ = 168367680.

The previous prime is 565466221. The next prime is 565466299. The reversal of 565466226 is 622664565.

It is not an unprimeable number, because it can be changed into a prime (565466221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22440 + ... + 40428.

It is an arithmetic number, because the mean of its divisors is an integer number (26337360).

Almost surely, 2565466226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565466226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632096640).

565466226 is an abundant number, since it is smaller than the sum of its proper divisors (698727054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

565466226 is a wasteful number, since it uses less digits than its factorization.

565466226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051 (or 18038 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 565466226 is about 23779.5337633016. The cubic root of 565466226 is about 826.9302709966.

The spelling of 565466226 in words is "five hundred sixty-five million, four hundred sixty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5239 10478 15717 17989 31434 35978 53967 107934 233857 467714 557659 701571 1115318 1403142 1672977 3040141 3345954 6080282 7249567 9120423 14499134 18240846 21748701 43497402 94244371 188488742 282733113 565466226