Base | Representation |
---|---|
bin | 111100110111001… |
… | …1101100111000000 |
3 | 12021022210200100101 |
4 | 1321232131213000 |
5 | 13140302114130 |
6 | 534351532144 |
7 | 101415416014 |
oct | 17156354700 |
9 | 5238720311 |
10 | 2042223040 |
11 | 958866440 |
12 | 48bb2a054 |
13 | 26713ba00 |
14 | 15532a544 |
15 | be4531ca |
hex | 79b9d9c0 |
2042223040 has 168 divisors, whose sum is σ = 5746290768. Its totient is φ = 685301760.
The previous prime is 2042223031. The next prime is 2042223089. The reversal of 2042223040 is 403222402.
It is a junction number, because it is equal to n+sod(n) for n = 2042222999 and 2042223017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593164 + ... + 596596.
Almost surely, 22042223040 is an apocalyptic number.
2042223040 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 2042223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873145384).
2042223040 is an abundant number, since it is smaller than the sum of its proper divisors (3704067728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042223040 is a wasteful number, since it uses less digits than its factorization.
2042223040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3487 (or 3464 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
The square root of 2042223040 is about 45190.9619282440. The cubic root of 2042223040 is about 1268.7256607883.
Adding to 2042223040 its reverse (403222402), we get a palindrome (2445445442).
The spelling of 2042223040 in words is "two billion, forty-two million, two hundred twenty-three thousand, forty".
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