Base | Representation |
---|---|
bin | 101110100100… |
… | …101101101000 |
3 | 211222021121012 |
4 | 232210231220 |
5 | 11111142000 |
6 | 1113403052 |
7 | 205526516 |
oct | 56445550 |
9 | 24867535 |
10 | 12209000 |
11 | 6989891 |
12 | 4109488 |
13 | 26b617b |
14 | 189b4b6 |
15 | 1112735 |
hex | ba4b68 |
12209000 has 64 divisors (see below), whose sum is σ = 29624400. Its totient is φ = 4704000.
The previous prime is 12208997. The next prime is 12209003. The reversal of 12209000 is 90221.
12209000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12208997) and next prime (12209003).
It can be written as a sum of positive squares in 8 ways, for example, as 334084 + 11874916 = 578^2 + 3446^2 .
It is not an unprimeable number, because it can be changed into a prime (12209003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28790 + ... + 29210.
Almost surely, 212209000 is an apocalyptic number.
12209000 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 12209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812200).
12209000 is an abundant number, since it is smaller than the sum of its proper divisors (17415400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12209000 is a wasteful number, since it uses less digits than its factorization.
12209000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 471 (or 457 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 12209000 is about 3494.1379480496. The cubic root of 12209000 is about 230.2643463455.
Adding to 12209000 its reverse (90221), we get a palindrome (12299221).
The spelling of 12209000 in words is "twelve million, two hundred nine thousand".
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