Base | Representation |
---|---|
bin | 11001001010100… |
… | …001101010010000 |
3 | 1002102102110102000 |
4 | 121022201222100 |
5 | 1331040032322 |
6 | 105520554000 |
7 | 13314360540 |
oct | 3112415220 |
9 | 1072373360 |
10 | 422189712 |
11 | 1a735141a |
12 | b9482900 |
13 | 696105c9 |
14 | 400dd320 |
15 | 270e83ac |
hex | 192a1a90 |
422189712 has 160 divisors (see below), whose sum is σ = 1395744000. Its totient is φ = 119688192.
The previous prime is 422189711. The next prime is 422189731. The reversal of 422189712 is 217981224.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (422189711) 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 31 ways as a sum of consecutive naturals, for example, 450108 + ... + 451044.
It is an arithmetic number, because the mean of its divisors is an integer number (8723400).
Almost surely, 2422189712 is an apocalyptic number.
422189712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422189712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697872000).
422189712 is an abundant number, since it is smaller than the sum of its proper divisors (973554288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422189712 is a wasteful number, since it uses less digits than its factorization.
422189712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).
The product of its digits is 16128, while the sum is 36.
The square root of 422189712 is about 20547.2555831673. The cubic root of 422189712 is about 750.1864496449.
The spelling of 422189712 in words is "four hundred twenty-two million, one hundred eighty-nine thousand, seven hundred twelve".
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