Search a number
-
+
12216438 = 23213173783
BaseRepresentation
bin101110100110…
…100001110110
3211222122210200
4232212201312
511111411223
61113501330
7205560303
oct56464166
924878720
1012216438
116994433
124111846
1326b9680
1418a00aa
151114a43
hexba6876

12216438 has 96 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 3400704.

The previous prime is 12216437. The next prime is 12216439. The reversal of 12216438 is 83461221.

12216438 is a `hidden beast` number, since 1 + 221 + 6 + 438 = 666.

It is an interprime number because it is at equal distance from previous prime (12216437) and next prime (12216439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12216431) 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, 147145 + ... + 147227.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 212216438 is an apocalyptic number.

12216438 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 12216438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

12216438 is an abundant number, since it is smaller than the sum of its proper divisors (19154538).

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

12216438 is a wasteful number, since it uses less digits than its factorization.

12216438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12216438 is about 3495.2021400772. The cubic root of 12216438 is about 230.3110976087.

Adding to 12216438 its reverse (83461221), we get a palindrome (95677659).

The spelling of 12216438 in words is "twelve million, two hundred sixteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 37 39 51 74 78 83 102 111 117 153 166 221 222 234 249 306 333 442 481 498 629 663 666 747 962 1079 1258 1326 1411 1443 1494 1887 1989 2158 2822 2886 3071 3237 3774 3978 4233 4329 5661 6142 6474 8177 8466 8658 9213 9711 11322 12699 16354 18343 18426 19422 24531 25398 27639 36686 39923 49062 52207 55029 55278 73593 79846 104414 110058 119769 147186 156621 165087 239538 313242 330174 359307 469863 678691 718614 939726 1357382 2036073 4072146 6108219 12216438