Base | Representation |
---|---|
bin | 111101000011000… |
… | …110010100000000 |
3 | 2122101020220002100 |
4 | 331003012110000 |
5 | 4044200104324 |
6 | 245344350400 |
7 | 34244514216 |
oct | 7503062400 |
9 | 2571226070 |
10 | 1024222464 |
11 | 486168551 |
12 | 247015400 |
13 | 13426b4c5 |
14 | 9a054cb6 |
15 | 5edb84c9 |
hex | 3d0c6500 |
1024222464 has 108 divisors (see below), whose sum is σ = 3055115700. Its totient is φ = 329613312.
The previous prime is 1024222457. The next prime is 1024222469. The reversal of 1024222464 is 4642224201.
It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 735494400 = 16992^2 + 27120^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1024222469) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59152 + ... + 74480.
Almost surely, 21024222464 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 1024222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527557850).
1024222464 is an abundant number, since it is smaller than the sum of its proper divisors (2030893236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024222464 is a wasteful number, since it uses less digits than its factorization.
1024222464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15380 (or 15363 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 1024222464 is about 32003.4758112303. The cubic root of 1024222464 is about 1008.0098260569.
Adding to 1024222464 its reverse (4642224201), we get a palindrome (5666446665).
The spelling of 1024222464 in words is "one billion, twenty-four million, two hundred twenty-two thousand, four hundred sixty-four".
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