Base | Representation |
---|---|
bin | 101110100110… |
… | …011101000100 |
3 | 211222122101100 |
4 | 232212131010 |
5 | 11111404012 |
6 | 1113500100 |
7 | 205556355 |
oct | 56463504 |
9 | 24878340 |
10 | 12216132 |
11 | 6994185 |
12 | 4111630 |
13 | 26b94a6 |
14 | 189dd2c |
15 | 11148dc |
hex | ba6744 |
12216132 has 36 divisors (see below), whose sum is σ = 32697756. Its totient is φ = 3832320.
The previous prime is 12216131. The next prime is 12216137. The reversal of 12216132 is 23161221.
12216132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 10536516 + 1679616 = 3246^2 + 1296^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (12216131) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9369 + ... + 10592.
It is an arithmetic number, because the mean of its divisors is an integer number (908271).
Almost surely, 212216132 is an apocalyptic number.
12216132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12216132 is an abundant number, since it is smaller than the sum of its proper divisors (20481624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12216132 is a wasteful number, since it uses less digits than its factorization.
12216132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19988 (or 19983 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 12216132 is about 3495.1583655108. The cubic root of 12216132 is about 230.3091746318.
Adding to 12216132 its reverse (23161221), we get a palindrome (35377353).
The spelling of 12216132 in words is "twelve million, two hundred sixteen thousand, one hundred thirty-two".
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