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12225168186 = 23711223118661
BaseRepresentation
bin10110110001010110…
…10100001100111010
31011112222210220000220
423120223110030322
5200014120340221
65341031440510
7611644133520
oct133053241472
934488726026
1012225168186
115203874890
122452226136
1311ca9c173a
1483d8b2310
154b83ec0c6
hex2d8ad433a

12225168186 has 64 divisors (see below), whose sum is σ = 30620491776. Its totient is φ = 3161102400.

The previous prime is 12225168181. The next prime is 12225168211. The reversal of 12225168186 is 68186152221.

12225168186 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12225168181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43696 + ... + 162356.

It is an arithmetic number, because the mean of its divisors is an integer number (478445184).

Almost surely, 212225168186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225168186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310245888).

12225168186 is an abundant number, since it is smaller than the sum of its proper divisors (18395323590).

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

12225168186 is a wasteful number, since it uses less digits than its factorization.

12225168186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118907.

The product of its digits is 92160, while the sum is 42.

The spelling of 12225168186 in words is "twelve billion, two hundred twenty-five million, one hundred sixty-eight thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 223 231 446 462 669 1338 1561 2453 3122 4683 4906 7359 9366 14718 17171 34342 51513 103026 118661 237322 355983 711966 830627 1305271 1661254 2491881 2610542 3915813 4983762 7831626 9136897 18273794 26461403 27410691 52922806 54821382 79384209 158768418 185229821 291075433 370459642 555689463 582150866 873226299 1111378926 1746452598 2037528031 4075056062 6112584093 12225168186