Search a number
-
+
12822216 = 23311172857
BaseRepresentation
bin110000111010…
…011011001000
3220010102202220
4300322123020
511240302331
61134454040
7213662361
oct60723310
926112686
1012822216
117268580
124364320
13286c314
1419bab68
1511d4296
hexc3a6c8

12822216 has 64 divisors (see below), whose sum is σ = 37039680. Its totient is φ = 3655680.

The previous prime is 12822203. The next prime is 12822269. The reversal of 12822216 is 61222821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 5916.

It is an arithmetic number, because the mean of its divisors is an integer number (578745).

Almost surely, 212822216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12822216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519840).

12822216 is an abundant number, since it is smaller than the sum of its proper divisors (24217464).

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

12822216 is a wasteful number, since it uses less digits than its factorization.

12822216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2890 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 12822216 is about 3580.8121983706. The cubic root of 12822216 is about 234.0566741241.

It can be divided in two parts, 12 and 822216, that added together give a palindrome (822228).

The spelling of 12822216 in words is "twelve million, eight hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2857 4488 5714 8571 11428 17142 22856 31427 34284 48569 62854 68568 94281 97138 125708 145707 188562 194276 251416 291414 377124 388552 534259 582828 754248 1068518 1165656 1602777 2137036 3205554 4274072 6411108 12822216