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12203820 = 22325151449
BaseRepresentation
bin101110100011…
…011100101100
3211222000111100
4232203130230
511111010240
61113323100
7205505436
oct56433454
924860440
1012203820
116985a02
124106490
1326b39c5
141899656
151110e30
hexba372c

12203820 has 72 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3225600.

The previous prime is 12203803. The next prime is 12203831. The reversal of 12203820 is 2830221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12203793 and 12203802.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26956 + ... + 27404.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 212203820 is an apocalyptic number.

12203820 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 12203820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

12203820 is an abundant number, since it is smaller than the sum of its proper divisors (25142580).

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

12203820 is a wasteful number, since it uses less digits than its factorization.

12203820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12203820 is about 3493.3966279253. The cubic root of 12203820 is about 230.2317764369.

The spelling of 12203820 in words is "twelve million, two hundred three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 449 453 604 755 898 906 1347 1359 1510 1796 1812 2245 2265 2694 2718 3020 4041 4490 4530 5388 5436 6735 6795 8082 8980 9060 13470 13590 16164 20205 26940 27180 40410 67799 80820 135598 203397 271196 338995 406794 610191 677990 813588 1016985 1220382 1355980 2033970 2440764 3050955 4067940 6101910 12203820