Base | Representation |
---|---|
bin | 101110100110… |
… | …000000000000 |
3 | 211222112211110 |
4 | 232212000000 |
5 | 11111324042 |
6 | 1113443320 |
7 | 205551060 |
oct | 56460000 |
9 | 24875743 |
10 | 12214272 |
11 | 6992844 |
12 | 4110540 |
13 | 26b86a5 |
14 | 189d3a0 |
15 | 111409c |
hex | ba6000 |
12214272 has 112 divisors (see below), whose sum is σ = 37746432. Its totient is φ = 3440640.
The previous prime is 12214243. The next prime is 12214273. The reversal of 12214272 is 27241221.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12214273) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171997 + ... + 172067.
Almost surely, 212214272 is an apocalyptic number.
12214272 is a gapful number since it is divisible by the number (12) 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 12214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873216).
12214272 is an abundant number, since it is smaller than the sum of its proper divisors (25532160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12214272 is an frugal number, since it uses more digits than its factorization.
12214272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107 (or 83 counting only the distinct ones).
The product of its digits is 448, while the sum is 21.
The square root of 12214272 is about 3494.8922730179. The cubic root of 12214272 is about 230.2974852578.
Adding to 12214272 its reverse (27241221), we get a palindrome (39455493).
The spelling of 12214272 in words is "twelve million, two hundred fourteen thousand, two hundred seventy-two".
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