Base | Representation |
---|---|
bin | 1011110001010110100… |
… | …0110101110100011000 |
3 | 201022222111211010111000 |
4 | 2330111220311310120 |
5 | 11303124440200043 |
6 | 232522423305000 |
7 | 20416234544250 |
oct | 2742550656430 |
9 | 638874733430 |
10 | 202226490648 |
11 | 78844644616 |
12 | 332392ab160 |
13 | 160ba697370 |
14 | 9b05a96960 |
15 | 53d8b752d3 |
hex | 2f15a35d18 |
202226490648 has 256 divisors, whose sum is σ = 694407168000. Its totient is φ = 53100375552.
The previous prime is 202226490617. The next prime is 202226490659. The reversal of 202226490648 is 846094622202.
202226490648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2022264906483 (a number of 35 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 4478761 + ... + 4523687.
It is an arithmetic number, because the mean of its divisors is an integer number (2712528000).
Almost surely, 2202226490648 is an apocalyptic number.
202226490648 is a gapful number since it is divisible by the number (28) 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 202226490648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584000).
202226490648 is an abundant number, since it is smaller than the sum of its proper divisors (492180677352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202226490648 is a wasteful number, since it uses less digits than its factorization.
202226490648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45191 (or 45181 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The spelling of 202226490648 in words is "two hundred two billion, two hundred twenty-six million, four hundred ninety thousand, six hundred forty-eight".
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