Base | Representation |
---|---|
bin | 1000011000010010… |
… | …0000000000000000 |
3 | 12210202111122000022 |
4 | 2012010200000000 |
5 | 14101311422332 |
6 | 1011110513012 |
7 | 106511650322 |
oct | 20604400000 |
9 | 5722448008 |
10 | 2249326592 |
11 | a547603a7 |
12 | 529365768 |
13 | 29b0123a6 |
14 | 174a3b612 |
15 | d2712212 |
hex | 86120000 |
2249326592 has 54 divisors (see below), whose sum is σ = 4533238899. Its totient is φ = 1116078080.
The previous prime is 2249326577. The next prime is 2249326619. The reversal of 2249326592 is 2956239422.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 1124663296 + 1124663296 = 33536^2 + 33536^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=33536.
It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17170367 + ... + 17170497.
Almost surely, 22249326592 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 2249326592
2249326592 is an abundant number, since it is smaller than the sum of its proper divisors (2283912307).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2249326592 is an frugal number, since it uses more digits than its factorization.
2249326592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 133 counting only the distinct ones).
The product of its digits is 466560, while the sum is 44.
The square root of 2249326592 is about 47427.0660277441. The cubic root of 2249326592 is about 1310.2399560440.
The spelling of 2249326592 in words is "two billion, two hundred forty-nine million, three hundred twenty-six thousand, five hundred ninety-two".
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