Base | Representation |
---|---|
bin | 11011110000001… |
… | …10110111100000 |
3 | 121020002002000200 |
4 | 31320012313200 |
5 | 434044441000 |
6 | 35033545200 |
7 | 5524604121 |
oct | 1570066740 |
9 | 536062020 |
10 | 232812000 |
11 | 10a464113 |
12 | 65b75200 |
13 | 393051a5 |
14 | 22cc4048 |
15 | 1568b500 |
hex | de06de0 |
232812000 has 288 divisors, whose sum is σ = 858574080. Its totient is φ = 59673600.
The previous prime is 232811963. The next prime is 232812007. The reversal of 232812000 is 218232.
It is a happy number.
232812000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232812007) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043889 + ... + 1044111.
It is an arithmetic number, because the mean of its divisors is an integer number (2981160).
Almost surely, 2232812000 is an apocalyptic number.
232812000 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 232812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).
232812000 is an abundant number, since it is smaller than the sum of its proper divisors (625762080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232812000 is a wasteful number, since it uses less digits than its factorization.
232812000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 283 (or 262 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 232812000 is about 15258.1781350199. The cubic root of 232812000 is about 615.1794043327.
It can be divided in two parts, 23281 and 2000, that added together give a square (25281 = 1592).
The spelling of 232812000 in words is "two hundred thirty-two million, eight hundred twelve thousand".
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