Base | Representation |
---|---|
bin | 10010101100000011… |
… | …01010001101110000 |
3 | 221220020020212222200 |
4 | 21112001222031300 |
5 | 131022000211344 |
6 | 4335330303200 |
7 | 503426610522 |
oct | 112601521560 |
9 | 27806225880 |
10 | 10033210224 |
11 | 4289538384 |
12 | 1b40127b00 |
13 | c3b8476ab |
14 | 6b2729a12 |
15 | 3dac6d069 |
hex | 25606a370 |
10033210224 has 120 divisors (see below), whose sum is σ = 29844696960. Its totient is φ = 3137533056.
The previous prime is 10033210217. The next prime is 10033210241. The reversal of 10033210224 is 42201233001.
10033210224 is a `hidden beast` number, since 100 + 332 + 10 + 224 = 666.
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 = 10033210197 and 10033210206.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264007 + ... + 299609.
It is an arithmetic number, because the mean of its divisors is an integer number (248705808).
Almost surely, 210033210224 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 10033210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922348480).
10033210224 is an abundant number, since it is smaller than the sum of its proper divisors (19811486736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10033210224 is a wasteful number, since it uses less digits than its factorization.
10033210224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35739 (or 35730 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 10033210224 its reverse (42201233001), we get a palindrome (52234443225).
The spelling of 10033210224 in words is "ten billion, thirty-three million, two hundred ten thousand, two hundred twenty-four".
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