Base | Representation |
---|---|
bin | 100110111010… |
… | …110001110000 |
3 | 201012022211011 |
4 | 212322301300 |
5 | 10102432344 |
6 | 1002400304 |
7 | 152501044 |
oct | 46726160 |
9 | 21168734 |
10 | 10202224 |
11 | 583909a |
12 | 3500094 |
13 | 2162926 |
14 | 14d8024 |
15 | d67d34 |
hex | 9bac70 |
10202224 has 40 divisors (see below), whose sum is σ = 20776448. Its totient is φ = 4847040.
The previous prime is 10202219. The next prime is 10202237. The reversal of 10202224 is 42220201.
10202224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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, 33079 + ... + 33385.
Almost surely, 210202224 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 10202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388224).
10202224 is an abundant number, since it is smaller than the sum of its proper divisors (10574224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10202224 is a wasteful number, since it uses less digits than its factorization.
10202224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 413 (or 407 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 10202224 is about 3194.0920462629. The cubic root of 10202224 is about 216.8860494554.
Adding to 10202224 its reverse (42220201), we get a palindrome (52422425).
The spelling of 10202224 in words is "ten million, two hundred two thousand, two hundred twenty-four".
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