Base | Representation |
---|---|
bin | 100010110000… |
… | …0111101000000 |
3 | 1021021211010200 |
4 | 1011200331000 |
5 | 14131113122 |
6 | 1450325200 |
7 | 310615011 |
oct | 105407500 |
9 | 37254120 |
10 | 18222912 |
11 | a317164 |
12 | 6129800 |
13 | 3a105b6 |
14 | 25c5008 |
15 | 18ee5ac |
hex | 1160f40 |
18222912 has 84 divisors (see below), whose sum is σ = 55334916. Its totient is φ = 5713920.
The previous prime is 18222871. The next prime is 18222913. The reversal of 18222912 is 21922281.
It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 13133376 = 2256^2 + 3624^2 .
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 (18222913) 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, 8862 + ... + 10722.
It is an arithmetic number, because the mean of its divisors is an integer number (658749).
Almost surely, 218222912 is an apocalyptic number.
18222912 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 18222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667458).
18222912 is an abundant number, since it is smaller than the sum of its proper divisors (37112004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18222912 is a wasteful number, since it uses less digits than its factorization.
18222912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1896 (or 1883 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
The square root of 18222912 is about 4268.8302847501. The cubic root of 18222912 is about 263.1515460981.
The spelling of 18222912 in words is "eighteen million, two hundred twenty-two thousand, nine hundred twelve".
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