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12230220 = 22351031979
BaseRepresentation
bin101110101001…
…111001001100
3212000100201010
4232221321030
511112331340
61114045220
7205645422
oct56517114
925010633
1012230220
1169a3822
124119810
1326c2a22
1418a5112
151118b80
hexba9e4c

12230220 has 48 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3228096.

The previous prime is 12230209. The next prime is 12230221. The reversal of 12230220 is 2203221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12230196 and 12230205.

It is not an unprimeable number, because it can be changed into a prime (12230221) 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 15 ways as a sum of consecutive naturals, for example, 5191 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 212230220 is an apocalyptic number.

12230220 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 12230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12230220 is an abundant number, since it is smaller than the sum of its proper divisors (22364340).

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

12230220 is a wasteful number, since it uses less digits than its factorization.

12230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12230220 is about 3497.1731441266. The cubic root of 12230220 is about 230.3976737082.

Adding to 12230220 its reverse (2203221), we get a palindrome (14433441).

The spelling of 12230220 in words is "twelve million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 1979 2060 3090 3958 5937 6180 7916 9895 11874 19790 23748 29685 39580 59370 118740 203837 407674 611511 815348 1019185 1223022 2038370 2446044 3057555 4076740 6115110 12230220