Base | Representation |
---|---|
bin | 11011101110011… |
… | …11100000010000 |
3 | 121012122112221212 |
4 | 31313033200100 |
5 | 434020211412 |
6 | 35025035252 |
7 | 5522641025 |
oct | 1567174020 |
9 | 535575855 |
10 | 232585232 |
11 | 10a319800 |
12 | 65a85b28 |
13 | 39255bc9 |
14 | 22c6554c |
15 | 15644222 |
hex | ddcf810 |
232585232 has 60 divisors (see below), whose sum is σ = 521477040. Its totient is φ = 100140480.
The previous prime is 232585231. The next prime is 232585247.
232585232 is nontrivially palindromic in base 10.
232585232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an alternating number because its digits alternate between even and odd.
It is not an unprimeable number, because it can be changed into a prime (232585231) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33623 + ... + 39945.
It is an arithmetic number, because the mean of its divisors is an integer number (8691284).
Almost surely, 2232585232 is an apocalyptic number.
232585232 is a gapful number since it is divisible by the number (22) 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 232585232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260738520).
232585232 is an abundant number, since it is smaller than the sum of its proper divisors (288891808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232585232 is a wasteful number, since it uses less digits than its factorization.
232585232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6372 (or 6355 counting only the distinct ones).
The product of its digits is 28800, while the sum is 32.
The square root of 232585232 is about 15250.7452932635. The cubic root of 232585232 is about 614.9796031749.
The spelling of 232585232 in words is "two hundred thirty-two million, five hundred eighty-five thousand, two hundred thirty-two".
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