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12220845 = 3572131279
BaseRepresentation
bin101110100111…
…100110101101
3211222212211220
4232213212231
511112031340
61113533553
7205606200
oct56474655
924885756
1012220845
11699777a
1241142b9
1326bb690
1418a1937
151115ed0
hexba79ad

12220845 has 48 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 5152896.

The previous prime is 12220823. The next prime is 12220849. The reversal of 12220845 is 54802221.

It is not a de Polignac number, because 12220845 - 27 = 12220717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8916 + ... + 10194.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 212220845 is an apocalyptic number.

12220845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12220845 is an abundant number, since it is smaller than the sum of its proper divisors (12293715).

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

12220845 is a wasteful number, since it uses less digits than its factorization.

12220845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12220845 is about 3495.8325188716. The cubic root of 12220845 is about 230.3387886859.

The spelling of 12220845 in words is "twelve million, two hundred twenty thousand, eight hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1279 1365 1911 3185 3837 6395 8953 9555 16627 19185 26859 44765 49881 62671 83135 116389 134295 188013 249405 313355 349167 581945 814723 940065 1745835 2444169 4073615 12220845