Base | Representation |
---|---|
bin | 11011001101001… |
… | …10110000010110 |
3 | 120220102222111120 |
4 | 31212212300112 |
5 | 431411132042 |
6 | 34351344410 |
7 | 5440605105 |
oct | 1546466026 |
9 | 526388446 |
10 | 228224022 |
11 | 1079100a4 |
12 | 64522106 |
13 | 38389b00 |
14 | 2244c03c |
15 | 15081dec |
hex | d9a6c16 |
228224022 has 48 divisors (see below), whose sum is σ = 497499408. Its totient is φ = 69763200.
The previous prime is 228223993. The next prime is 228224023. The reversal of 228224022 is 220422822.
228224022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 228223983 and 228224001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (228224023) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174772 + ... + 176072.
It is an arithmetic number, because the mean of its divisors is an integer number (10364571).
Almost surely, 2228224022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 228224022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248749704).
228224022 is an abundant number, since it is smaller than the sum of its proper divisors (269275386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228224022 is a wasteful number, since it uses less digits than its factorization.
228224022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 228224022 is about 15107.0851589577. The cubic root of 228224022 is about 611.1114931592. Note that the first 3 decimals are identical.
Adding to 228224022 its reverse (220422822), we get a palindrome (448646844).
The spelling of 228224022 in words is "two hundred twenty-eight million, two hundred twenty-four thousand, twenty-two".
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