Search a number
-
+
12223422 = 23219103347
BaseRepresentation
bin101110101000…
…001110111110
3212000000101100
4232220032332
511112122142
61113553530
7205616541
oct56501676
925000340
1012223422
116999702
1241158a6
1326bc8c3
1418a2858
151116b4c
hexba83be

12223422 has 48 divisors (see below), whose sum is σ = 28229760. Its totient is φ = 3811536.

The previous prime is 12223417. The next prime is 12223429. The reversal of 12223422 is 22432221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12223395 and 12223404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35053 + ... + 35399.

It is an arithmetic number, because the mean of its divisors is an integer number (588120).

Almost surely, 212223422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114880).

12223422 is an abundant number, since it is smaller than the sum of its proper divisors (16006338).

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

12223422 is a wasteful number, since it uses less digits than its factorization.

12223422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 474 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 12223422 is about 3496.2010811737. The cubic root of 12223422 is about 230.3549780012.

Adding to 12223422 its reverse (22432221), we get a palindrome (34655643).

The spelling of 12223422 in words is "twelve million, two hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 347 618 694 927 1041 1854 1957 2082 3123 3914 5871 6246 6593 11742 13186 17613 19779 35226 35741 39558 59337 71482 107223 118674 214446 321669 643338 679079 1358158 2037237 4074474 6111711 12223422