Base | Representation |
---|---|
bin | 1000010111001011… |
… | …1100010011101100 |
3 | 12210102211210101000 |
4 | 2011302330103230 |
5 | 14044122131243 |
6 | 1010424120300 |
7 | 106424560455 |
oct | 20562742354 |
9 | 5712753330 |
10 | 2244723948 |
11 | a520a7365 |
12 | 527906090 |
13 | 29a09042c |
14 | 1741a012c |
15 | d21035d3 |
hex | 85cbc4ec |
2244723948 has 108 divisors (see below), whose sum is σ = 6008043720. Its totient is φ = 724771584.
The previous prime is 2244723947. The next prime is 2244723953. The reversal of 2244723948 is 8493274422.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2244723948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (108).
It is not an unprimeable number, because it can be changed into a prime (2244723941) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23141436 + ... + 23141532.
Almost surely, 22244723948 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 2244723948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004021860).
2244723948 is an abundant number, since it is smaller than the sum of its proper divisors (3763319772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244723948 is an equidigital number, since it uses as much as digits as its factorization.
2244723948 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301 (or 149 counting only the distinct ones).
The product of its digits is 774144, while the sum is 45.
The square root of 2244723948 is about 47378.5177902391. The cubic root of 2244723948 is about 1309.3456608225.
The spelling of 2244723948 in words is "two billion, two hundred forty-four million, seven hundred twenty-three thousand, nine hundred forty-eight".
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