Base | Representation |
---|---|
bin | 1101111001010011000… |
… | …1100001010110101001 |
3 | 211211011202022101200100 |
4 | 3132110301201112221 |
5 | 12402344104222141 |
6 | 301355513100013 |
7 | 23150453545602 |
oct | 3362461412651 |
9 | 754152271610 |
10 | 238719210921 |
11 | 92270853474 |
12 | 3a3226b7609 |
13 | 19684c31979 |
14 | b7a852cda9 |
15 | 63227b30b6 |
hex | 3794c615a9 |
238719210921 has 81 divisors (see below), whose sum is σ = 369272481669. Its totient is φ = 148593595392.
The previous prime is 238719210913. The next prime is 238719210923. The reversal of 238719210921 is 129012917832.
The square root of 238719210921 is 488589.
It is a perfect power (a square), and thus also a powerful number.
238719210921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 67420521 + 238651790400 = 8211^2 + 488520^2 .
It is not a de Polignac number, because 238719210921 - 23 = 238719210913 is a prime.
It is not an unprimeable number, because it can be changed into a prime (238719210923) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2461022745 + ... + 2461022841.
Almost surely, 2238719210921 is an apocalyptic number.
238719210921 is the 488589-th square number.
238719210921 is the 244295-th centered octagonal number.
It is an amenable number.
238719210921 is a deficient number, since it is larger than the sum of its proper divisors (130553270748).
238719210921 is an frugal number, since it uses more digits than its factorization.
238719210921 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 392 (or 196 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 45.
The spelling of 238719210921 in words is "two hundred thirty-eight billion, seven hundred nineteen million, two hundred ten thousand, nine hundred twenty-one".
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