| Base | Representation |
|---|---|
| bin | 100110111111… |
| … | …110100000000 |
| 3 | 201020101010000 |
| 4 | 212333310000 |
| 5 | 10104112343 |
| 6 | 1003040000 |
| 7 | 152615136 |
| oct | 46776400 |
| 9 | 21211100 |
| 10 | 10222848 |
| 11 | 5852639 |
| 12 | 3510000 |
| 13 | 216c12c |
| 14 | 1501756 |
| 15 | d6ded3 |
| hex | 9bfd00 |
10222848 has 180 divisors, whose sum is σ = 33388740. Its totient is φ = 3096576.
The previous prime is 10222843. The next prime is 10222859. The reversal of 10222848 is 84822201.
10222848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 3504384 = 2592^2 + 1872^2 .
It is a super-2 number, since 2×102228482 = 209013242462208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10222843) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352498 + ... + 352526.
It is an arithmetic number, because the mean of its divisors is an integer number (185493).
Almost surely, 210222848 is an apocalyptic number.
10222848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694370).
10222848 is an abundant number, since it is smaller than the sum of its proper divisors (23165892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222848 is an equidigital number, since it uses as much as digits as its factorization.
10222848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
The square root of 10222848 is about 3197.3188768091. The cubic root of 10222848 is about 217.0320975831.
The spelling of 10222848 in words is "ten million, two hundred twenty-two thousand, eight hundred forty-eight".
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