Base | Representation |
---|---|
bin | 111011101011011… |
… | …001101101001000 |
3 | 2120202222220210000 |
4 | 323223121231020 |
5 | 4022303430344 |
6 | 243203523000 |
7 | 33545225205 |
oct | 7353315510 |
9 | 2522886700 |
10 | 1001233224 |
11 | 474196382 |
12 | 23b389460 |
13 | 12c57c5c4 |
14 | 96d8ccac |
15 | 5cd76a69 |
hex | 3bad9b48 |
1001233224 has 160 divisors (see below), whose sum is σ = 3003157080. Its totient is φ = 310542336.
The previous prime is 1001233201. The next prime is 1001233231. The reversal of 1001233224 is 4223321001.
It can be written as a sum of positive squares in 4 ways, for example, as 729972324 + 271260900 = 27018^2 + 16470^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1001233197 and 1001233206.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 1068084 + ... + 1069020.
Almost surely, 21001233224 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 1001233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501578540).
1001233224 is an abundant number, since it is smaller than the sum of its proper divisors (2001923856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001233224 is a wasteful number, since it uses less digits than its factorization.
1001233224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1069 (or 1056 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1001233224 is about 31642.2695772601. The cubic root of 1001233224 is about 1000.4109058000.
Adding to 1001233224 its reverse (4223321001), we get a palindrome (5224554225).
The spelling of 1001233224 in words is "one billion, one million, two hundred thirty-three thousand, two hundred twenty-four".
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