Base | Representation |
---|---|
bin | 100100011101011… |
… | …1100100011000000 |
3 | 10011021001202122000 |
4 | 1020322330203000 |
5 | 10001143140104 |
6 | 321221544000 |
7 | 42213554361 |
oct | 11072744300 |
9 | 3137052560 |
10 | 1223411904 |
11 | 578647520 |
12 | 2a1875000 |
13 | 166600890 |
14 | b86a5b68 |
15 | 72612639 |
hex | 48ebc8c0 |
1223411904 has 224 divisors, whose sum is σ = 4226234880. Its totient is φ = 342144000.
The previous prime is 1223411887. The next prime is 1223411909. The reversal of 1223411904 is 4091143221.
It is a happy number.
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 (1223411909) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 244629 + ... + 249579.
It is an arithmetic number, because the mean of its divisors is an integer number (18867120).
Almost surely, 21223411904 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 1223411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113117440).
1223411904 is an abundant number, since it is smaller than the sum of its proper divisors (3002822976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223411904 is a wasteful number, since it uses less digits than its factorization.
1223411904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4996 (or 4980 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1223411904 is about 34977.3055566034. The cubic root of 1223411904 is about 1069.5249016074.
The spelling of 1223411904 in words is "one billion, two hundred twenty-three million, four hundred eleven thousand, nine hundred four".
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