Base | Representation |
---|---|
bin | 101011011110… |
… | …0010100100000 |
3 | 1120212221000000 |
4 | 1112330110200 |
5 | 21313311311 |
6 | 2132300000 |
7 | 364503252 |
oct | 126742440 |
9 | 46787000 |
10 | 22791456 |
11 | 11957616 |
12 | 7771600 |
13 | 494cb8c |
14 | 3053cd2 |
15 | 2003056 |
hex | 15bc520 |
22791456 has 84 divisors (see below), whose sum is σ = 67344102. Its totient is φ = 7589376.
The previous prime is 22791451. The next prime is 22791473. The reversal of 22791456 is 65419722.
It can be written as a sum of positive squares in only one way, i.e., 14288400 + 8503056 = 3780^2 + 2916^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22791456.
It is not an unprimeable number, because it can be changed into a prime (22791451) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22840 + ... + 23816.
Almost surely, 222791456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22791456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33672051).
22791456 is an abundant number, since it is smaller than the sum of its proper divisors (44552646).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22791456 is an frugal number, since it uses more digits than its factorization.
22791456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1005 (or 982 counting only the distinct ones).
The product of its digits is 30240, while the sum is 36.
The square root of 22791456 is about 4774.0397987449. The cubic root of 22791456 is about 283.5245632534.
The spelling of 22791456 in words is "twenty-two million, seven hundred ninety-one thousand, four hundred fifty-six".
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