Base | Representation |
---|---|
bin | 111111111001110… |
… | …0011100001000000 |
3 | 12112102201201120210 |
4 | 1333303203201000 |
5 | 13342410034443 |
6 | 552434034120 |
7 | 104064402621 |
oct | 17763434100 |
9 | 5472651523 |
10 | 2144221248 |
11 | a003a2184 |
12 | 4ba118940 |
13 | 282301b90 |
14 | 164abba48 |
15 | c839ec33 |
hex | 7fce3840 |
2144221248 has 112 divisors (see below), whose sum is σ = 6210255296. Its totient is φ = 648898560.
The previous prime is 2144221241. The next prime is 2144221249. The reversal of 2144221248 is 8421224412.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2144221241) 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, 145215 + ... + 159297.
It is an arithmetic number, because the mean of its divisors is an integer number (55448708).
Almost surely, 22144221248 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 2144221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105127648).
2144221248 is an abundant number, since it is smaller than the sum of its proper divisors (4066034048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2144221248 is a wasteful number, since it uses less digits than its factorization.
2144221248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14172 (or 14162 counting only the distinct ones).
The product of its digits is 8192, while the sum is 30.
The square root of 2144221248 is about 46305.7366640463. The cubic root of 2144221248 is about 1289.5054988251.
The spelling of 2144221248 in words is "two billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred forty-eight".
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