Search a number
-
+
223216565 = 511213101281
BaseRepresentation
bin11010100111000…
…00001110110101
3120120000120120012
431103200032311
5424120412230
634052150005
75350211105
oct1523401665
9516016505
10223216565
11104aaaa00
1262908305
1337325810
1421907205
15148e3395
hexd4e03b5

223216565 has 48 divisors (see below), whose sum is σ = 321351408. Its totient is φ = 147840000.

The previous prime is 223216547. The next prime is 223216571. The reversal of 223216565 is 565612322.

223216565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3020644 + 220195921 = 1738^2 + 14839^2 .

It is not a de Polignac number, because 223216565 - 220 = 222167989 is a prime.

It is a super-3 number, since 3×2232165653 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794225 + ... + 794505.

It is an arithmetic number, because the mean of its divisors is an integer number (6694821).

Almost surely, 2223216565 is an apocalyptic number.

It is an amenable number.

223216565 is a deficient number, since it is larger than the sum of its proper divisors (98134843).

223216565 is a wasteful number, since it uses less digits than its factorization.

223216565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 223216565 is about 14940.4338959750. The cubic root of 223216565 is about 606.6089405217.

Adding to 223216565 its reverse (565612322), we get a palindrome (788828887).

The spelling of 223216565 in words is "two hundred twenty-three million, two hundred sixteen thousand, five hundred sixty-five".

Divisors: 1 5 11 13 55 65 101 121 143 281 505 605 715 1111 1313 1405 1573 3091 3653 5555 6565 7865 12221 14443 15455 18265 28381 34001 40183 61105 72215 141905 158873 170005 200915 312191 368953 442013 794365 1560955 1844765 2210065 3434101 4058483 17170505 20292415 44643313 223216565