Base | Representation |
---|---|
bin | 1110101100000… |
… | …11010111001000 |
3 | 22120212022001100 |
4 | 13112003113020 |
5 | 223021041243 |
6 | 20121021400 |
7 | 3024236130 |
oct | 726032710 |
9 | 276768040 |
10 | 123221448 |
11 | 63612109 |
12 | 35324860 |
13 | 1c6b42cc |
14 | 12517ac0 |
15 | ac400d3 |
hex | 75835c8 |
123221448 has 96 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 34867584.
The previous prime is 123221437. The next prime is 123221453. The reversal of 123221448 is 844122321.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53815 + ... + 56057.
It is an arithmetic number, because the mean of its divisors is an integer number (4011150).
Almost surely, 2123221448 is an apocalyptic number.
123221448 is a gapful number since it is divisible by the number (18) 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 123221448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).
123221448 is an abundant number, since it is smaller than the sum of its proper divisors (261848952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123221448 is a wasteful number, since it uses less digits than its factorization.
123221448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2371 (or 2364 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 123221448 is about 11100.5156636978. The cubic root of 123221448 is about 497.6172604752.
Adding to 123221448 its reverse (844122321), we get a palindrome (967343769).
The spelling of 123221448 in words is "one hundred twenty-three million, two hundred twenty-one thousand, four hundred forty-eight".
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