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12226180 = 2255091201
BaseRepresentation
bin101110101000…
…111010000100
3212000011011111
4232220322010
511112214210
61114014404
7205630561
oct56507204
925004144
1012226180
1169a078a
124117404
1326c0c35
1418a3868
15111788a
hexba8e84

12226180 has 24 divisors (see below), whose sum is σ = 25746840. Its totient is φ = 4876800.

The previous prime is 12226127. The next prime is 12226187. The reversal of 12226180 is 8162221.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 12054784 = 414^2 + 3472^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12226187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9580 + ... + 10780.

It is an arithmetic number, because the mean of its divisors is an integer number (1072785).

Almost surely, 212226180 is an apocalyptic number.

12226180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12226180 is an abundant number, since it is smaller than the sum of its proper divisors (13520660).

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

12226180 is a wasteful number, since it uses less digits than its factorization.

12226180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12226180 is about 3496.5954870416. The cubic root of 12226180 is about 230.3723018803.

The spelling of 12226180 in words is "twelve million, two hundred twenty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 509 1018 1201 2036 2402 2545 4804 5090 6005 10180 12010 24020 611309 1222618 2445236 3056545 6113090 12226180