Base | Representation |
---|---|
bin | 11100000010100… |
… | …10001110110000 |
3 | 121101121022012212 |
4 | 32001102032300 |
5 | 440203432330 |
6 | 35201311252 |
7 | 5554214204 |
oct | 1601221660 |
9 | 541538185 |
10 | 235217840 |
11 | 110857710 |
12 | 66935528 |
13 | 39968270 |
14 | 2334cb04 |
15 | 159b4295 |
hex | e0523b0 |
235217840 has 160 divisors (see below), whose sum is σ = 665582400. Its totient is φ = 76124160.
The previous prime is 235217809. The next prime is 235217867. The reversal of 235217840 is 48712532.
It is a junction number, because it is equal to n+sod(n) for n = 235217797 and 235217806.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331406 + ... + 332114.
It is an arithmetic number, because the mean of its divisors is an integer number (4159890).
Almost surely, 2235217840 is an apocalyptic number.
235217840 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 235217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332791200).
235217840 is an abundant number, since it is smaller than the sum of its proper divisors (430364560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235217840 is a wasteful number, since it uses less digits than its factorization.
235217840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 775 (or 769 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 32.
The square root of 235217840 is about 15336.8132283079. The cubic root of 235217840 is about 617.2912000917.
The spelling of 235217840 in words is "two hundred thirty-five million, two hundred seventeen thousand, eight hundred forty".
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