Base | Representation |
---|---|
bin | 101110101001… |
… | …001011011100 |
3 | 212000012200200 |
4 | 232221023130 |
5 | 11112233132 |
6 | 1114023500 |
7 | 205634040 |
oct | 56511334 |
9 | 25005620 |
10 | 12227292 |
11 | 69a1600 |
12 | 4117b90 |
13 | 26c15ac |
14 | 18a4020 |
15 | 1117d7c |
hex | ba92dc |
12227292 has 108 divisors (see below), whose sum is σ = 38923248. Its totient is φ = 3168000.
The previous prime is 12227291. The next prime is 12227309. The reversal of 12227292 is 29272221.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12227291) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 30292 + ... + 30692.
Almost surely, 212227292 is an apocalyptic number.
12227292 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 12227292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461624).
12227292 is an abundant number, since it is smaller than the sum of its proper divisors (26695956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12227292 is a wasteful number, since it uses less digits than its factorization.
12227292 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 440 (or 424 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 12227292 is about 3496.7544952427. The cubic root of 12227292 is about 230.3792859705.
The spelling of 12227292 in words is "twelve million, two hundred twenty-seven thousand, two hundred ninety-two".
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