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12210114 = 237317349
BaseRepresentation
bin101110100100…
…111111000010
3211222100010110
4232210333002
511111210424
61113412150
7205533000
oct56447702
924870113
1012210114
11698a704
12410a056
1326b6827
14189ba70
151112c29
hexba4fc2

12210114 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3273984.

The previous prime is 12210113. The next prime is 12210119. The reversal of 12210114 is 41101221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210114.

It is not an unprimeable number, because it can be changed into a prime (12210113) 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 31 ways as a sum of consecutive naturals, for example, 34812 + ... + 35160.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 212210114 is an apocalyptic number.

12210114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

12210114 is an abundant number, since it is smaller than the sum of its proper divisors (18029886).

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

12210114 is a wasteful number, since it uses less digits than its factorization.

12210114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12210114 is about 3494.2973542617. The cubic root of 12210114 is about 230.2713495584.

Adding to 12210114 its reverse (41101221), we get a palindrome (53311335).

The spelling of 12210114 in words is "twelve million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 349 357 686 698 714 833 1029 1047 1666 2058 2094 2443 2499 4886 4998 5831 5933 7329 11662 11866 14658 17101 17493 17799 34202 34986 35598 41531 51303 83062 102606 119707 124593 239414 249186 290717 359121 581434 718242 872151 1744302 2035019 4070038 6105057 12210114