Base | Representation |
---|---|
bin | 11011110001101… |
… | …00110001001010 |
3 | 121020102121221000 |
4 | 31320310301022 |
5 | 434122000020 |
6 | 35041555430 |
7 | 5526316215 |
oct | 1570646112 |
9 | 536377830 |
10 | 233000010 |
11 | 10a5823a1 |
12 | 66045b76 |
13 | 3936c939 |
14 | 22d3277c |
15 | 156c7090 |
hex | de34c4a |
233000010 has 64 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 61670016.
The previous prime is 232999997. The next prime is 233000023. The reversal of 233000010 is 10000332.
It is a happy number.
233000010 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (232999997) and next prime (233000023).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 232999956 and 233000001.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33841 + ... + 40139.
It is an arithmetic number, because the mean of its divisors is an integer number (9780750).
Almost surely, 2233000010 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).
233000010 is an abundant number, since it is smaller than the sum of its proper divisors (392967990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233000010 is a wasteful number, since it uses less digits than its factorization.
233000010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6452 (or 6446 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 233000010 is about 15264.3378500346. The cubic root of 233000010 is about 615.3449581696.
Adding to 233000010 its reverse (10000332), we get a palindrome (243000342).
The spelling of 233000010 in words is "two hundred thirty-three million, ten", and thus it is an aban number.
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