Base | Representation |
---|---|
bin | 111111111010001… |
… | …110011100011010 |
3 | 2202201120211110200 |
4 | 333322032130122 |
5 | 4143442244442 |
6 | 254221323030 |
7 | 35366534340 |
oct | 7772163432 |
9 | 2681524420 |
10 | 1072228122 |
11 | 500276949 |
12 | 25b106476 |
13 | 1411a8c14 |
14 | a258d990 |
15 | 641ec34c |
hex | 3fe8e71a |
1072228122 has 96 divisors (see below), whose sum is σ = 2817884160. Its totient is φ = 288018720.
The previous prime is 1072228117. The next prime is 1072228127. The reversal of 1072228122 is 2218222701.
It is an interprime number because it is at equal distance from previous prime (1072228117) and next prime (1072228127).
It is a super-2 number, since 2×10722281222 = 2299346291215293768, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1072228127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167847 + ... + 174117.
It is an arithmetic number, because the mean of its divisors is an integer number (29352960).
Almost surely, 21072228122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1072228122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080).
1072228122 is an abundant number, since it is smaller than the sum of its proper divisors (1745656038).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072228122 is a wasteful number, since it uses less digits than its factorization.
1072228122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6368 (or 6365 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The square root of 1072228122 is about 32744.8945944249. The cubic root of 1072228122 is about 1023.5185807963.
The spelling of 1072228122 in words is "one billion, seventy-two million, two hundred twenty-eight thousand, one hundred twenty-two".
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