Base | Representation |
---|---|
bin | 101011011101… |
… | …1100010000000 |
3 | 1120212202120022 |
4 | 1112323202000 |
5 | 21313210344 |
6 | 2132233012 |
7 | 364460654 |
oct | 126734200 |
9 | 46782508 |
10 | 22788224 |
11 | 11955148 |
12 | 776b768 |
13 | 494b574 |
14 | 3052a64 |
15 | 20020ee |
hex | 15bb880 |
22788224 has 32 divisors (see below), whose sum is σ = 46871040. Its totient is φ = 11024640.
The previous prime is 22788223. The next prime is 22788247. The reversal of 22788224 is 42288722.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22788221) 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 3 ways as a sum of consecutive naturals, for example, 1097 + ... + 6839.
It is an arithmetic number, because the mean of its divisors is an integer number (1464720).
Almost surely, 222788224 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 22788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23435520).
22788224 is an abundant number, since it is smaller than the sum of its proper divisors (24082816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22788224 is an equidigital number, since it uses as much as digits as its factorization.
22788224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5788 (or 5776 counting only the distinct ones).
The product of its digits is 28672, while the sum is 35.
The square root of 22788224 is about 4773.7012893561. The cubic root of 22788224 is about 283.5111606475.
The spelling of 22788224 in words is "twenty-two million, seven hundred eighty-eight thousand, two hundred twenty-four".
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