| Base | Representation |
|---|---|
| bin | 1000001110111101… |
| … | …0100101111001000 |
| 3 | 12201000220212020001 |
| 4 | 2003233110233020 |
| 5 | 14011304033000 |
| 6 | 1003152412344 |
| 7 | 105525366001 |
| oct | 20357245710 |
| 9 | 5630825201 |
| 10 | 2210221000 |
| 11 | a34680829 |
| 12 | 5182470b4 |
| 13 | 292b9c9a0 |
| 14 | 16d77c1a8 |
| 15 | ce08a46a |
| hex | 83bd4bc8 |
2210221000 has 256 divisors, whose sum is σ = 6021812160. Its totient is φ = 752025600.
The previous prime is 2210220979. The next prime is 2210221001. The reversal of 2210221000 is 1220122.
2210221000 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 32 ways, for example, as 654234084 + 1555986916 = 25578^2 + 39446^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (2210221001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16132932 + ... + 16133068.
Almost surely, 22210221000 is an apocalyptic number.
2210221000 is a gapful number since it is divisible by the number (20) 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 2210221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010906080).
2210221000 is an abundant number, since it is smaller than the sum of its proper divisors (3811591160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210221000 is a wasteful number, since it uses less digits than its factorization.
2210221000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 261 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2210221000 is about 47012.9875672670. The cubic root of 2210221000 is about 1302.6024789107.
Adding to 2210221000 its reverse (1220122), we get a palindrome (2211441122).
It can be divided in two parts, 2210 and 221000, that multiplied together give a square (488410000 = 221002).
The spelling of 2210221000 in words is "two billion, two hundred ten million, two hundred twenty-one thousand".
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