Base | Representation |
---|---|
bin | 11011110000001… |
… | …10011000010000 |
3 | 121020001222021121 |
4 | 31320012120100 |
5 | 434044410000 |
6 | 35033532024 |
7 | 5524565233 |
oct | 1570063020 |
9 | 536058247 |
10 | 232810000 |
11 | 10a462665 |
12 | 65b74014 |
13 | 393042c7 |
14 | 22cc341a |
15 | 1568ab1a |
hex | de06610 |
232810000 has 100 divisors (see below), whose sum is σ = 582613504. Its totient is φ = 90000000.
The previous prime is 232809989. The next prime is 232810001. The reversal of 232810000 is 18232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×2328100002 = 108400992200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (232810001) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 309625 + ... + 310375.
Almost surely, 2232810000 is an apocalyptic number.
232810000 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 232810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291306752).
232810000 is an abundant number, since it is smaller than the sum of its proper divisors (349803504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232810000 is an equidigital number, since it uses as much as digits as its factorization.
232810000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 810 (or 789 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 232810000 is about 15258.1125962551. The cubic root of 232810000 is about 615.1776427363.
Adding to 232810000 its reverse (18232), we get a palindrome (232828232).
The spelling of 232810000 in words is "two hundred thirty-two million, eight hundred ten thousand".
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