Base | Representation |
---|---|
bin | 1000001110111001… |
… | …1111100001010101 |
3 | 12201000111210020001 |
4 | 2003232133201111 |
5 | 14011230044104 |
6 | 1003144011301 |
7 | 105523500343 |
oct | 20356374125 |
9 | 5630453201 |
10 | 2210003029 |
11 | a34541a93 |
12 | 518160b31 |
13 | 292b24700 |
14 | 16d722993 |
15 | ce045aa4 |
hex | 83b9f855 |
2210003029 has 12 divisors (see below), whose sum is σ = 2475605700. Its totient is φ = 1969653504.
The previous prime is 2210003023. The next prime is 2210003039. The reversal of 2210003029 is 9203000122.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 94187025 + 2115816004 = 9705^2 + 45998^2 .
It is not a de Polignac number, because 2210003029 - 27 = 2210002901 is a prime.
It is a super-2 number, since 2×22100030292 = 9768226776378349682, which contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2210002997 and 2210003015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2210003023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220564 + ... + 230365.
It is an arithmetic number, because the mean of its divisors is an integer number (206300475).
Almost surely, 22210003029 is an apocalyptic number.
2210003029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.
It is an amenable number.
2210003029 is a deficient number, since it is larger than the sum of its proper divisors (265602671).
2210003029 is a wasteful number, since it uses less digits than its factorization.
2210003029 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450984 (or 450971 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 2210003029 is about 47010.6693102747. The cubic root of 2210003029 is about 1302.5596568130.
The spelling of 2210003029 in words is "two billion, two hundred ten million, three thousand, twenty-nine".
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