Base | Representation |
---|---|
bin | 11100000000111… |
… | …11111110100000 |
3 | 121101012211212011 |
4 | 32000133332200 |
5 | 440130341000 |
6 | 35153042304 |
7 | 5552366116 |
oct | 1600377640 |
9 | 541184764 |
10 | 235012000 |
11 | 110726aa3 |
12 | 66856394 |
13 | 398c5672 |
14 | 232d7ab6 |
15 | 159732ba |
hex | e01ffa0 |
235012000 has 96 divisors (see below), whose sum is σ = 591920784. Its totient is φ = 91648000.
The previous prime is 235011989. The next prime is 235012003. The reversal of 235012000 is 210532.
235012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 233600656 = 1188^2 + 15284^2 .
It is not an unprimeable number, because it can be changed into a prime (235012003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163284 + ... + 164716.
Almost surely, 2235012000 is an apocalyptic number.
235012000 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 235012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295960392).
235012000 is an abundant number, since it is smaller than the sum of its proper divisors (356908784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235012000 is a wasteful number, since it uses less digits than its factorization.
235012000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1499 (or 1481 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
The square root of 235012000 is about 15330.1011086033. The cubic root of 235012000 is about 617.1110829385. Note that the first 3 decimals are identical.
Adding to 235012000 its reverse (210532), we get a palindrome (235222532).
The spelling of 235012000 in words is "two hundred thirty-five million, twelve thousand".
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