Base | Representation |
---|---|
bin | 10010001100010… |
… | …101010111101000 |
3 | 210021022221102220 |
4 | 102030111113220 |
5 | 1111114120034 |
6 | 50141554040 |
7 | 10364232252 |
oct | 2214252750 |
9 | 707287386 |
10 | 305223144 |
11 | 147321736 |
12 | 86275920 |
13 | 4b309315 |
14 | 2c772cd2 |
15 | 1bbe1749 |
hex | 123155e8 |
305223144 has 64 divisors (see below), whose sum is σ = 830952000. Its totient is φ = 93058560.
The previous prime is 305223143. The next prime is 305223167. The reversal of 305223144 is 441322503.
It is a super-2 number, since 2×3052231442 = 186322335266489472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (305223143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684 + ... + 24764.
It is an arithmetic number, because the mean of its divisors is an integer number (12983625).
Almost surely, 2305223144 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 305223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415476000).
305223144 is an abundant number, since it is smaller than the sum of its proper divisors (525728856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305223144 is a wasteful number, since it uses less digits than its factorization.
305223144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23138 (or 23134 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 24.
The square root of 305223144 is about 17470.6366226306. The cubic root of 305223144 is about 673.2956684701.
Adding to 305223144 its reverse (441322503), we get a palindrome (746545647).
The spelling of 305223144 in words is "three hundred five million, two hundred twenty-three thousand, one hundred forty-four".
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