Base | Representation |
---|---|
bin | 100100011101101… |
… | …1110001000000000 |
3 | 10011021022202021221 |
4 | 1020323132020000 |
5 | 10001212040230 |
6 | 321224524424 |
7 | 42214666351 |
oct | 11073361000 |
9 | 3137282257 |
10 | 1223549440 |
11 | 578730893 |
12 | 2a1920714 |
13 | 16664b369 |
14 | b86ddd28 |
15 | 7263d27a |
hex | 48ede200 |
1223549440 has 80 divisors (see below), whose sum is σ = 3034995480. Its totient is φ = 472514560.
The previous prime is 1223549419. The next prime is 1223549443. The reversal of 1223549440 is 449453221.
It can be written as a sum of positive squares in 4 ways, for example, as 940771584 + 282777856 = 30672^2 + 16816^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 1223549396 and 1223549405.
It is not an unprimeable number, because it can be changed into a prime (1223549443) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66000 + ... + 82480.
Almost surely, 21223549440 is an apocalyptic number.
1223549440 is a gapful number since it is divisible by the number (10) 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 1223549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517497740).
1223549440 is an abundant number, since it is smaller than the sum of its proper divisors (1811446040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223549440 is an equidigital number, since it uses as much as digits as its factorization.
1223549440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16533 (or 16517 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 34.
The square root of 1223549440 is about 34979.2715761778. The cubic root of 1223549440 is about 1069.5649787786.
The spelling of 1223549440 in words is "one billion, two hundred twenty-three million, five hundred forty-nine thousand, four hundred forty".
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