| Base | Representation |
|---|---|
| bin | 100110111111… |
| … | …101001111000 |
| 3 | 201020100020000 |
| 4 | 212333221320 |
| 5 | 10104102300 |
| 6 | 1003033000 |
| 7 | 152613222 |
| oct | 46775170 |
| 9 | 21210200 |
| 10 | 10222200 |
| 11 | 58520aa |
| 12 | 350b760 |
| 13 | 216ba51 |
| 14 | 1501412 |
| 15 | d6dc00 |
| hex | 9bfa78 |
10222200 has 120 divisors (see below), whose sum is σ = 35559480. Its totient is φ = 2721600.
The previous prime is 10222193. The next prime is 10222207. The reversal of 10222200 is 222201.
It is an interprime number because it is at equal distance from previous prime (10222193) and next prime (10222207).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10222207) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15885 + ... + 16515.
It is an arithmetic number, because the mean of its divisors is an integer number (296329).
Almost surely, 210222200 is an apocalyptic number.
10222200 is a gapful number since it is divisible by the number (10) 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 10222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779740).
10222200 is an abundant number, since it is smaller than the sum of its proper divisors (25337280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222200 is a wasteful number, since it uses less digits than its factorization.
10222200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 659 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 10222200 is about 3197.2175402997. The cubic root of 10222200 is about 217.0275117843.
Adding to 10222200 its reverse (222201), we get a palindrome (10444401).
Subtracting from 10222200 its reverse (222201), we obtain a palindrome (9999999).
The spelling of 10222200 in words is "ten million, two hundred twenty-two thousand, two hundred".
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