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12208100 = 2252122081
BaseRepresentation
bin101110100100…
…011111100100
3211222020100212
4232210133210
511111124400
61113354552
7205524062
oct56443744
924866325
1012208100
116989143
124108a58
1326b5938
14189b032
151112335
hexba47e4

12208100 has 18 divisors (see below), whose sum is σ = 26491794. Its totient is φ = 4883200.

The previous prime is 12208099. The next prime is 12208111. The reversal of 12208100 is 180221.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 12208036 = 8^2 + 3494^2 .

It is a super-2 number, since 2×122081002 = 298075411220000, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 60941 + ... + 61140.

Almost surely, 212208100 is an apocalyptic number.

12208100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12208100 is an abundant number, since it is smaller than the sum of its proper divisors (14283694).

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

12208100 is a wasteful number, since it uses less digits than its factorization.

12208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122095 (or 122088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 12208100 is about 3494.0091585455. The cubic root of 12208100 is about 230.2586881424.

Adding to 12208100 its reverse (180221), we get a palindrome (12388321).

The spelling of 12208100 in words is "twelve million, two hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122081 244162 488324 610405 1220810 2441620 3052025 6104050 12208100