Base | Representation |
---|---|
bin | 11001001101010… |
… | …011110000111000 |
3 | 1002110210112002222 |
4 | 121031103300320 |
5 | 1331231403344 |
6 | 105544343212 |
7 | 13323516440 |
oct | 3115236070 |
9 | 1073715088 |
10 | 422919224 |
11 | 1a77aa522 |
12 | b9774b08 |
13 | 69807680 |
14 | 4024d120 |
15 | 271de5ee |
hex | 19353c38 |
422919224 has 128 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 161021952.
The previous prime is 422919179. The next prime is 422919229.
422919224 is nontrivially palindromic in base 10.
It is a Cunningham number, because it is equal to 205652-1.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (422919229) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742592 + ... + 3742704.
It is an arithmetic number, because the mean of its divisors is an integer number (7918155).
Almost surely, 2422919224 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 422919224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).
422919224 is an abundant number, since it is smaller than the sum of its proper divisors (590604616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422919224 is a wasteful number, since it uses less digits than its factorization.
422919224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 289 (or 285 counting only the distinct ones).
The product of its digits is 20736, while the sum is 35.
The square root of 422919224 is about 20564.9999756868. Note that the first 4 decimals coincide. The cubic root of 422919224 is about 750.6182895580.
It can be divided in two parts, 42291 and 9224, that added together give a palindrome (51515).
The spelling of 422919224 in words is "four hundred twenty-two million, nine hundred nineteen thousand, two hundred twenty-four".
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