Base | Representation |
---|---|
bin | 111011110010001… |
… | …001100101110000 |
3 | 2120220022210101112 |
4 | 323302021211300 |
5 | 4023232032344 |
6 | 243305452452 |
7 | 33566243510 |
oct | 7362114560 |
9 | 2526283345 |
10 | 1003002224 |
11 | 475194464 |
12 | 23baa1128 |
13 | 12ca4b853 |
14 | 972cd840 |
15 | 5d0c5c9e |
hex | 3bc89970 |
1003002224 has 40 divisors (see below), whose sum is σ = 2230773888. Its totient is φ = 427953600.
The previous prime is 1003002211. The next prime is 1003002233. The reversal of 1003002224 is 4222003001.
1003002224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10030022242 = 2012026922697892352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 1003002199 and 1003002208.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5699 + ... + 45149.
Almost surely, 21003002224 is an apocalyptic number.
1003002224 is a gapful number since it is divisible by the number (14) 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 1003002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115386944).
1003002224 is an abundant number, since it is smaller than the sum of its proper divisors (1227771664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003002224 is a wasteful number, since it uses less digits than its factorization.
1003002224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39693 (or 39687 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 1003002224 is about 31670.2103561059. The cubic root of 1003002224 is about 1000.9997415172. Note that the first 3 decimals are identical.
Adding to 1003002224 its reverse (4222003001), we get a palindrome (5225005225).
The spelling of 1003002224 in words is "one billion, three million, two thousand, two hundred twenty-four".
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