Search a number
-
+
12220023222 = 23211211367797
BaseRepresentation
bin10110110000101111…
…01100000110110110
31011112122010111110200
423120113230012312
5200011311220342
65340325301330
7611552324601
oct133027540666
934478114420
1012220023222
115200980350
122450564846
1311c990c994
1483cd33338
154b7c3294c
hex2d85ec1b6

12220023222 has 96 divisors (see below), whose sum is σ = 29136167424. Its totient is φ = 3670833600.

The previous prime is 12220023217. The next prime is 12220023259. The reversal of 12220023222 is 22232002221.

It is a super-2 number, since 2×122200232222 (a number of 21 digits) contains 22 as substring.

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 = 12220023195 and 12220023204.

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, 15332128 + ... + 15332924.

It is an arithmetic number, because the mean of its divisors is an integer number (303501744).

Almost surely, 212220023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568083712).

12220023222 is an abundant number, since it is smaller than the sum of its proper divisors (16916144202).

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

12220023222 is a wasteful number, since it uses less digits than its factorization.

12220023222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1391 counting only the distinct ones).

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

Adding to 12220023222 its reverse (22232002221), we get a palindrome (34452025443).

The spelling of 12220023222 in words is "twelve billion, two hundred twenty million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 367 422 633 734 797 1101 1266 1594 1899 2202 2321 2391 3303 3798 4037 4642 4782 6606 6963 7173 8074 8767 12111 13926 14346 17534 20889 24222 26301 36333 41778 52602 72666 77437 78903 154874 157806 168167 232311 292499 336334 464622 504501 584998 696933 851807 877497 1009002 1393866 1513503 1703614 1754994 1849837 2555421 2632491 3027006 3217489 3699674 5110842 5264982 5549511 6434978 7666263 9652467 11099022 15332526 16648533 19304934 28957401 33297066 57914802 61717289 123434578 185151867 370303734 555455601 678890179 1110911202 1357780358 2036670537 4073341074 6110011611 12220023222