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12216180 = 2235972099
BaseRepresentation
bin101110100110…
…011101110100
3211222122110010
4232212131310
511111404210
61113500220
7205556454
oct56463564
924878403
1012216180
116994219
124111670
1326b9512
14189dd64
151114920
hexba6774

12216180 has 48 divisors (see below), whose sum is σ = 34574400. Its totient is φ = 3222528.

The previous prime is 12216173. The next prime is 12216181. The reversal of 12216180 is 8161221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12216181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4771 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (720300).

Almost surely, 212216180 is an apocalyptic number.

12216180 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 12216180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287200).

12216180 is an abundant number, since it is smaller than the sum of its proper divisors (22358220).

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

12216180 is a wasteful number, since it uses less digits than its factorization.

12216180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12216180 is about 3495.1652321457. The cubic root of 12216180 is about 230.3094762774.

The spelling of 12216180 in words is "twelve million, two hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2099 2910 4198 5820 6297 8396 10495 12594 20990 25188 31485 41980 62970 125940 203603 407206 610809 814412 1018015 1221618 2036030 2443236 3054045 4072060 6108090 12216180