Base | Representation |
---|---|
bin | 101001100111… |
… | …1110111000000 |
3 | 1112001201102000 |
4 | 1103033313000 |
5 | 21041313122 |
6 | 2055424000 |
7 | 353330436 |
oct | 123176700 |
9 | 45051360 |
10 | 21822912 |
11 | 11355971 |
12 | 7385000 |
13 | 46a1087 |
14 | 2c80d56 |
15 | 1db10ac |
hex | 14cfdc0 |
21822912 has 112 divisors (see below), whose sum is σ = 65410080. Its totient is φ = 7133184.
The previous prime is 21822907. The next prime is 21822923. The reversal of 21822912 is 21922812.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
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 15 ways as a sum of consecutive naturals, for example, 126058 + ... + 126230.
Almost surely, 221822912 is an apocalyptic number.
It is a pronic number, being equal to 4671×4672.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32705040).
21822912 is an abundant number, since it is smaller than the sum of its proper divisors (43587168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21822912 is a wasteful number, since it uses less digits than its factorization.
21822912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 251 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
The square root of 21822912 is about 4671.4999732420. The cubic root of 21822912 is about 279.4500771155.
The spelling of 21822912 in words is "twenty-one million, eight hundred twenty-two thousand, nine hundred twelve".
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