Base | Representation |
---|---|
bin | 11011011110000… |
… | …01100010110100 |
3 | 121001121002202210 |
4 | 31233001202310 |
5 | 432442242100 |
6 | 34510533420 |
7 | 5465426130 |
oct | 1557014264 |
9 | 531532683 |
10 | 230430900 |
11 | 109088167 |
12 | 65207270 |
13 | 3898045b |
14 | 228643c0 |
15 | 1536ac50 |
hex | dbc18b4 |
230430900 has 144 divisors (see below), whose sum is σ = 767200896. Its totient is φ = 52308480.
The previous prime is 230430883. The next prime is 230430901. The reversal of 230430900 is 9034032.
230430900 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 a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230430901) 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, 413422 + ... + 413978.
It is an arithmetic number, because the mean of its divisors is an integer number (5327784).
Almost surely, 2230430900 is an apocalyptic number.
230430900 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 230430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).
230430900 is an abundant number, since it is smaller than the sum of its proper divisors (536769996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230430900 is a wasteful number, since it uses less digits than its factorization.
230430900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 778 (or 771 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 21.
The square root of 230430900 is about 15179.9505928050. The cubic root of 230430900 is about 613.0749508951.
Adding to 230430900 its reverse (9034032), we get a palindrome (239464932).
The spelling of 230430900 in words is "two hundred thirty million, four hundred thirty thousand, nine hundred".
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