Base | Representation |
---|---|
bin | 1000010111000000… |
… | …0101000101000000 |
3 | 12210101102122212102 |
4 | 2011300011011000 |
5 | 14043424122230 |
6 | 1010400045532 |
7 | 106415313422 |
oct | 20560050500 |
9 | 5711378772 |
10 | 2243973440 |
11 | a51734505 |
12 | 5276038a8 |
13 | 299b89947 |
14 | 174046812 |
15 | d2006045 |
hex | 85c05140 |
2243973440 has 84 divisors (see below), whose sum is σ = 5522148468. Its totient is φ = 868515840.
The previous prime is 2243973437. The next prime is 2243973443. The reversal of 2243973440 is 443793422.
It is an interprime number because it is at equal distance from previous prime (2243973437) and next prime (2243973443).
It can be written as a sum of positive squares in 2 ways, for example, as 785344576 + 1458628864 = 28024^2 + 38192^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2243973394 and 2243973403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2243973443) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303872 + ... + 311168.
Almost surely, 22243973440 is an apocalyptic number.
2243973440 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 2243973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761074234).
2243973440 is an abundant number, since it is smaller than the sum of its proper divisors (3278175028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243973440 is an equidigital number, since it uses as much as digits as its factorization.
2243973440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7376 (or 7335 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 38.
The square root of 2243973440 is about 47370.5967874588. The cubic root of 2243973440 is about 1309.1997209871.
The spelling of 2243973440 in words is "two billion, two hundred forty-three million, nine hundred seventy-three thousand, four hundred forty".
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