Search a number
-
+
12223365 = 3571119557
BaseRepresentation
bin101110101000…
…001110000101
3212000000022020
4232220032011
511112121430
61113553353
7205616430
oct56501605
925000266
1012223365
116999660
124115859
1326bc87b
1418a2817
151116b10
hexba8385

12223365 has 64 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4803840.

The previous prime is 12223313. The next prime is 12223381. The reversal of 12223365 is 56332221.

It is not a de Polignac number, because 12223365 - 28 = 12223109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21667 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 212223365 is an apocalyptic number.

12223365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12223365 is an abundant number, since it is smaller than the sum of its proper divisors (13489275).

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

12223365 is a wasteful number, since it uses less digits than its factorization.

12223365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its digits is 2160, while the sum is 24.

The square root of 12223365 is about 3496.1929294591. The cubic root of 12223365 is about 230.3546199385.

Adding to 12223365 its reverse (56332221), we get a palindrome (68555586).

The spelling of 12223365 in words is "twelve million, two hundred twenty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 557 627 665 1045 1155 1463 1671 1995 2785 3135 3899 4389 6127 7315 8355 10583 11697 18381 19495 21945 30635 31749 42889 52915 58485 74081 91905 116413 128667 158745 214445 222243 349239 370405 582065 643335 814891 1111215 1746195 2444673 4074455 12223365