Base | Representation |
---|---|
bin | 1011110001010101110… |
… | …0110100100111100000 |
3 | 201022222021220001121100 |
4 | 2330111130310213200 |
5 | 11303123133340000 |
6 | 232522231554400 |
7 | 20416166012553 |
oct | 2742534644740 |
9 | 638867801540 |
10 | 202223340000 |
11 | 78842892480 |
12 | 3323822ba00 |
13 | 160b9b33286 |
14 | 9b054b669a |
15 | 53d8751a00 |
hex | 2f157349e0 |
202223340000 has 720 divisors, whose sum is σ = 791975424240. Its totient is φ = 48522240000.
The previous prime is 202223339993. The next prime is 202223340017. The reversal of 202223340000 is 43322202.
202223340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×2022233400003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 119 ways as a sum of consecutive naturals, for example, 215819532 + ... + 215820468.
It is an arithmetic number, because the mean of its divisors is an integer number (1099965867).
Almost surely, 2202223340000 is an apocalyptic number.
202223340000 is a gapful number since it is divisible by the number (20) 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 202223340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395987712120).
202223340000 is an abundant number, since it is smaller than the sum of its proper divisors (589752084240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202223340000 is a wasteful number, since it uses less digits than its factorization.
202223340000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
Adding to 202223340000 its reverse (43322202), we get a palindrome (202266662202).
The spelling of 202223340000 in words is "two hundred two billion, two hundred twenty-three million, three hundred forty thousand".
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