Base | Representation |
---|---|
bin | 11100000010111… |
… | …10011111100000 |
3 | 121101200212010000 |
4 | 32001132133200 |
5 | 440212034224 |
6 | 35202340000 |
7 | 5554513503 |
oct | 1601363740 |
9 | 541625100 |
10 | 235268064 |
11 | 110891419 |
12 | 6695a600 |
13 | 39985095 |
14 | 2336313a |
15 | 159c40c9 |
hex | e05e7e0 |
235268064 has 120 divisors (see below), whose sum is σ = 697961880. Its totient is φ = 77739264.
The previous prime is 235268057. The next prime is 235268101. The reversal of 235268064 is 460862532.
235268064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 359962 + ... + 360614.
It is an arithmetic number, because the mean of its divisors is an integer number (5816349).
Almost surely, 2235268064 is an apocalyptic number.
235268064 is a gapful number since it is divisible by the number (24) 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 235268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348980940).
235268064 is an abundant number, since it is smaller than the sum of its proper divisors (462693816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235268064 is a wasteful number, since it uses less digits than its factorization.
235268064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 814 (or 797 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 235268064 is about 15338.4505084445. The cubic root of 235268064 is about 617.3351318883.
The spelling of 235268064 in words is "two hundred thirty-five million, two hundred sixty-eight thousand, sixty-four".
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