[go: up one dir, main page]

Search a number
-
+
12218778 = 232111347101
BaseRepresentation
bin101110100111…
…000110011010
3211222210000100
4232213012122
511112000103
61113520230
7205600155
oct56470632
924883010
1012218778
116996170
124113076
1326ba760
1418a0c9c
1511155a3
hexba719a

12218778 has 96 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3312000.

The previous prime is 12218777. The next prime is 12218783. The reversal of 12218778 is 87781221.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12218777) 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 47 ways as a sum of consecutive naturals, for example, 120928 + ... + 121028.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 212218778 is an apocalyptic number.

12218778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12218778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

12218778 is an abundant number, since it is smaller than the sum of its proper divisors (19859814).

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

12218778 is a wasteful number, since it uses less digits than its factorization.

12218778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12218778 is about 3495.5368686369. The cubic root of 12218778 is about 230.3258016646.

Adding to 12218778 its reverse (87781221), we get a palindrome (99999999).

It can be divided in two parts, 122187 and 78, that added together give a triangular number (122265 = T494).

The spelling of 12218778 in words is "twelve million, two hundred eighteen thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 47 66 78 94 99 101 117 141 143 198 202 234 282 286 303 423 429 517 606 611 846 858 909 1034 1111 1222 1287 1313 1551 1818 1833 2222 2574 2626 3102 3333 3666 3939 4653 4747 5499 6666 6721 7878 9306 9494 9999 10998 11817 13442 14241 14443 19998 20163 23634 28482 28886 40326 42723 43329 52217 60489 61711 85446 86658 104434 120978 123422 129987 156651 185133 259974 313302 370266 469953 555399 678821 939906 1110798 1357642 2036463 4072926 6109389 12218778