Base | Representation |
---|---|
bin | 10010101101001111… |
… | …10001001011100000 |
3 | 221220221001102200200 |
4 | 21112213301023200 |
5 | 131032024401344 |
6 | 4340324345200 |
7 | 503610536061 |
oct | 112647611340 |
9 | 27827042620 |
10 | 10043200224 |
11 | 4294140a82 |
12 | 1b43545200 |
13 | c40934835 |
14 | 6b3baa568 |
15 | 3dba93069 |
hex | 2569f12e0 |
10043200224 has 72 divisors (see below), whose sum is σ = 28607145840. Its totient is φ = 3342248448.
The previous prime is 10043200207. The next prime is 10043200229. The reversal of 10043200224 is 42200234001.
10043200224 is a `hidden beast` number, since 10 + 0 + 432 + 0 + 0 + 224 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
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 = 10043200197 and 10043200206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10043200229) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149437 + ... + 205955.
It is an arithmetic number, because the mean of its divisors is an integer number (397321470).
Almost surely, 210043200224 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 10043200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303572920).
10043200224 is an abundant number, since it is smaller than the sum of its proper divisors (18563945616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10043200224 is a wasteful number, since it uses less digits than its factorization.
10043200224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57152 (or 57141 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 10043200224 its reverse (42200234001), we get a palindrome (52243434225).
The spelling of 10043200224 in words is "ten billion, forty-three million, two hundred thousand, two hundred twenty-four".
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