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12227820 = 22351197191
BaseRepresentation
bin101110101001…
…010011101100
3212000020102020
4232221103230
511112242240
61114030140
7205635423
oct56512354
925006366
1012227820
1169a1a40
124118350
1326c18c7
1418a42ba
1511180d0
hexba94ec

12227820 has 96 divisors (see below), whose sum is σ = 37933056. Its totient is φ = 2918400.

The previous prime is 12227819. The next prime is 12227827. The reversal of 12227820 is 2872221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227827) 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, 63925 + ... + 64115.

It is an arithmetic number, because the mean of its divisors is an integer number (395136).

Almost surely, 212227820 is an apocalyptic number.

12227820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12227820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528).

12227820 is an abundant number, since it is smaller than the sum of its proper divisors (25705236).

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

12227820 is a wasteful number, since it uses less digits than its factorization.

12227820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12227820 is about 3496.8299930080. The cubic root of 12227820 is about 230.3826020090.

The spelling of 12227820 in words is "twelve million, two hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 191 194 220 291 330 382 388 485 573 582 660 764 955 970 1067 1146 1164 1455 1910 1940 2101 2134 2292 2865 2910 3201 3820 4202 4268 5335 5730 5820 6303 6402 8404 10505 10670 11460 12606 12804 16005 18527 21010 21340 25212 31515 32010 37054 42020 55581 63030 64020 74108 92635 111162 126060 185270 203797 222324 277905 370540 407594 555810 611391 815188 1018985 1111620 1222782 2037970 2445564 3056955 4075940 6113910 12227820