Base | Representation |
---|---|
bin | 100100011101000… |
… | …1100110101000000 |
3 | 10011020200211111220 |
4 | 1020322030311000 |
5 | 10001120411243 |
6 | 321213435040 |
7 | 42212111466 |
oct | 11072146500 |
9 | 3136624456 |
10 | 1223216448 |
11 | 578523693 |
12 | 2a179ba80 |
13 | 16656291c |
14 | b8654836 |
15 | 725c4783 |
hex | 48e8cd40 |
1223216448 has 112 divisors (see below), whose sum is σ = 3342680640. Its totient is φ = 394481664.
The previous prime is 1223216441. The next prime is 1223216461. The reversal of 1223216448 is 8446123221.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (18432) is a multiple of the sum of its prime factors (1024).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223216441) 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, 1654863 + ... + 1655601.
Almost surely, 21223216448 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 1223216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671340320).
1223216448 is an abundant number, since it is smaller than the sum of its proper divisors (2119464192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223216448 is a wasteful number, since it uses less digits than its factorization.
1223216448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).
The product of its digits is 18432, while the sum is 33.
The square root of 1223216448 is about 34974.5114047359. The cubic root of 1223216448 is about 1069.4679417255.
Adding to 1223216448 its reverse (8446123221), we get a palindrome (9669339669).
It can be divided in two parts, 12232 and 16448, that added together give a triangular number (28680 = T239).
The spelling of 1223216448 in words is "one billion, two hundred twenty-three million, two hundred sixteen thousand, four hundred forty-eight".
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