Base | Representation |
---|---|
bin | 100110111111… |
… | …111011010000 |
3 | 201020101202012 |
4 | 212333323100 |
5 | 10104121222 |
6 | 1003042052 |
7 | 152616401 |
oct | 46777320 |
9 | 21211665 |
10 | 10223312 |
11 | 5852a20 |
12 | 3510328 |
13 | 216c3c8 |
14 | 15019a8 |
15 | d6e1e2 |
hex | 9bfed0 |
10223312 has 40 divisors (see below), whose sum is σ = 22364640. Its totient is φ = 4484480.
The previous prime is 10223303. The next prime is 10223327. The reversal of 10223312 is 21332201.
It is a happy number.
It is a super-2 number, since 2×102233122 = 209032216498688, which contains 22 as substring.
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, 4103 + ... + 6105.
It is an arithmetic number, because the mean of its divisors is an integer number (559116).
Almost surely, 210223312 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 10223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182320).
10223312 is an abundant number, since it is smaller than the sum of its proper divisors (12141328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10223312 is a wasteful number, since it uses less digits than its factorization.
10223312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2051 (or 2045 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 10223312 is about 3197.3914367809. The cubic root of 10223312 is about 217.0353811224.
Adding to 10223312 its reverse (21332201), we get a palindrome (31555513).
Subtracting 10223312 from its reverse (21332201), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1022 and 3312, that added together give a palindrome (4334).
The spelling of 10223312 in words is "ten million, two hundred twenty-three thousand, three hundred twelve".
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