Base | Representation |
---|---|
bin | 100000110110… |
… | …1011010100100 |
3 | 1012102010210001 |
4 | 1001231122210 |
5 | 13402203010 |
6 | 1413111044 |
7 | 266261524 |
oct | 101553244 |
9 | 35363701 |
10 | 17225380 |
11 | 97a5757 |
12 | 5928484 |
13 | 3751543 |
14 | 2405684 |
15 | 17a3c3a |
hex | 106d6a4 |
17225380 has 24 divisors (see below), whose sum is σ = 36340920. Its totient is φ = 6858240.
The previous prime is 17225353. The next prime is 17225389. The reversal of 17225380 is 8352271.
It can be written as a sum of positive squares in 4 ways, for example, as 4778596 + 12446784 = 2186^2 + 3528^2 .
It is a super-3 number, since 3×172253803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (17225389) 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 7 ways as a sum of consecutive naturals, for example, 2700 + ... + 6460.
It is an arithmetic number, because the mean of its divisors is an integer number (1514205).
Almost surely, 217225380 is an apocalyptic number.
17225380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
17225380 is an abundant number, since it is smaller than the sum of its proper divisors (19115540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17225380 is a wasteful number, since it uses less digits than its factorization.
17225380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3999 (or 3997 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 28.
The square root of 17225380 is about 4150.3469734469. The cubic root of 17225380 is about 258.2594789457.
It can be divided in two parts, 1722 and 5380, that multiplied together give a triangular number (9264360 = T4304).
The spelling of 17225380 in words is "seventeen million, two hundred twenty-five thousand, three hundred eighty".
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