Base | Representation |
---|---|
bin | 100001011100101… |
… | …1010011101000000 |
3 | 2220012220010101121 |
4 | 1002321122131000 |
5 | 4244310044231 |
6 | 303211442024 |
7 | 36545535103 |
oct | 10271323500 |
9 | 2805803347 |
10 | 1122346816 |
11 | 526598858 |
12 | 273a56314 |
13 | 14b6a6356 |
14 | a90b873a |
15 | 687ec311 |
hex | 42e5a740 |
1122346816 has 56 divisors (see below), whose sum is σ = 2305751040. Its totient is φ = 541478400.
The previous prime is 1122346811. The next prime is 1122346829. The reversal of 1122346816 is 6186432211.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1122346811) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949746 + ... + 950926.
Almost surely, 21122346816 is an apocalyptic number.
1122346816 is a gapful number since it is divisible by the number (16) 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 1122346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152875520).
1122346816 is an abundant number, since it is smaller than the sum of its proper divisors (1183404224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122346816 is a wasteful number, since it uses less digits than its factorization.
1122346816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).
The product of its digits is 13824, while the sum is 34.
The square root of 1122346816 is about 33501.4449837615. Note that the first 3 decimals coincide. The cubic root of 1122346816 is about 1039.2236612544.
The spelling of 1122346816 in words is "one billion, one hundred twenty-two million, three hundred forty-six thousand, eight hundred sixteen".
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