Base | Representation |
---|---|
bin | 100001000010101111001… |
… | …001010000101101001010 |
3 | 22001002000200020010202200 |
4 | 201002233021100231022 |
5 | 244200323340012220 |
6 | 4455045253541030 |
7 | 323023411340211 |
oct | 41025711205512 |
9 | 8032020203680 |
10 | 2270681172810 |
11 | 7a5a99364296 |
12 | 3080a6644776 |
13 | 13618017790b |
14 | 7bc89c20078 |
15 | 3e0eb766890 |
hex | 210af250b4a |
2270681172810 has 96 divisors (see below), whose sum is σ = 6005747406672. Its totient is φ = 595143398400.
The previous prime is 2270681172797. The next prime is 2270681172817. The reversal of 2270681172810 is 182711860722.
It can be written as a sum of positive squares in 8 ways, for example, as 1006223653449 + 1264457519361 = 1003107^2 + 1124481^2 .
It is a super-2 number, since 2×22706811728102 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2270681172817) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333652 + ... + 2157008.
Almost surely, 22270681172810 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2270681172810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002873703336).
2270681172810 is an abundant number, since it is smaller than the sum of its proper divisors (3735066233862).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2270681172810 is a wasteful number, since it uses less digits than its factorization.
2270681172810 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1823608 (or 1823605 counting only the distinct ones).
The product of its (nonzero) digits is 150528, while the sum is 45.
The spelling of 2270681172810 in words is "two trillion, two hundred seventy billion, six hundred eighty-one million, one hundred seventy-two thousand, eight hundred ten".
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