Search a number
-
+
12922182 = 232741323
BaseRepresentation
bin110001010010…
…110101000110
3220022111220100
4301102311012
511302002212
61140544530
7214560000
oct61226506
926274810
1012922182
117326699
1243b2146
1328a5980
141a05370
151203bdc
hexc52d46

12922182 has 120 divisors (see below), whose sum is σ = 36704304. Its totient is φ = 3259872.

The previous prime is 12922171. The next prime is 12922201. The reversal of 12922182 is 28122921.

It is a super-2 number, since 2×129221822 = 333965575282248, which contains 22 as substring.

Its product of digits (1152) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 561823 + ... + 561845.

Almost surely, 212922182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12922182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352152).

12922182 is an abundant number, since it is smaller than the sum of its proper divisors (23782122).

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

12922182 is a wasteful number, since it uses less digits than its factorization.

12922182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12922182 is about 3594.7436626274. The cubic root of 12922182 is about 234.6633598485.

The spelling of 12922182 in words is "twelve million, nine hundred twenty-two thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 49 63 69 78 91 98 117 126 138 147 161 182 207 234 273 294 299 322 343 414 441 483 546 598 637 686 819 882 897 966 1029 1127 1274 1449 1638 1794 1911 2058 2093 2254 2401 2691 2898 3087 3381 3822 4186 4459 4802 5382 5733 6174 6279 6762 7203 7889 8918 10143 11466 12558 13377 14406 14651 15778 18837 20286 21609 23667 26754 29302 31213 37674 40131 43218 43953 47334 55223 62426 71001 80262 87906 93639 102557 110446 131859 142002 165669 187278 205114 263718 280917 307671 331338 497007 561834 615342 717899 923013 994014 1435798 1846026 2153697 4307394 6461091 12922182