Base | Representation |
---|---|
bin | 100100011101010… |
… | …0100100000000000 |
3 | 10011020212202112000 |
4 | 1020322210200000 |
5 | 10001132012113 |
6 | 321215504000 |
7 | 42212664252 |
oct | 11072444000 |
9 | 3136782460 |
10 | 1223313408 |
11 | 57858a519 |
12 | 2a1828000 |
13 | 166597ab5 |
14 | b867bcd2 |
15 | 725e3373 |
hex | 48ea4800 |
1223313408 has 96 divisors (see below), whose sum is σ = 3623911200. Its totient is φ = 407752704.
The previous prime is 1223313401. The next prime is 1223313437. The reversal of 1223313408 is 8043133221.
1223313408 is a `hidden beast` number, since 1 + 223 + 31 + 3 + 408 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1223313401) 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, 44235 + ... + 66357.
It is an arithmetic number, because the mean of its divisors is an integer number (37749075).
Almost surely, 21223313408 is an apocalyptic number.
1223313408 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 1223313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811955600).
1223313408 is an abundant number, since it is smaller than the sum of its proper divisors (2400597792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223313408 is an equidigital number, since it uses as much as digits as its factorization.
1223313408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22154 (or 22128 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 1223313408 is about 34975.8975295846. The cubic root of 1223313408 is about 1069.4961986139.
Adding to 1223313408 its reverse (8043133221), we get a palindrome (9266446629).
The spelling of 1223313408 in words is "one billion, two hundred twenty-three million, three hundred thirteen thousand, four hundred eight".
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