Base | Representation |
---|---|
bin | 111011111101110… |
… | …100101010010100 |
3 | 2121010002020221000 |
4 | 323331310222110 |
5 | 4030022442403 |
6 | 243455223300 |
7 | 33634250013 |
oct | 7375645224 |
9 | 2533066830 |
10 | 1006062228 |
11 | 476994496 |
12 | 240b17b30 |
13 | 1305805c2 |
14 | 97888a7a |
15 | 5d4cc7a3 |
hex | 3bf74a94 |
1006062228 has 96 divisors (see below), whose sum is σ = 2785305600. Its totient is φ = 313280352.
The previous prime is 1006062221. The next prime is 1006062241. The reversal of 1006062228 is 8222606001.
1006062228 is a `hidden beast` number, since 10 + 0 + 6 + 0 + 622 + 28 = 666.
It is a super-2 number, since 2×10060622282 = 2024322413216647968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1006062221) 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, 102103 + ... + 111521.
It is an arithmetic number, because the mean of its divisors is an integer number (29013600).
Almost surely, 21006062228 is an apocalyptic number.
1006062228 is a gapful number since it is divisible by the number (18) 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 1006062228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392652800).
1006062228 is an abundant number, since it is smaller than the sum of its proper divisors (1779243372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006062228 is a wasteful number, since it uses less digits than its factorization.
1006062228 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9498 (or 9490 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 1006062228 is about 31718.4840116926. The cubic root of 1006062228 is about 1002.0166729629.
Adding to 1006062228 its reverse (8222606001), we get a palindrome (9228668229).
The spelling of 1006062228 in words is "one billion, six million, sixty-two thousand, two hundred twenty-eight".
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