Base | Representation |
---|---|
bin | 11011011011101… |
… | …11101100010000 |
3 | 121001000201211002 |
4 | 31231313230100 |
5 | 432403102100 |
6 | 34500241132 |
7 | 5463026165 |
oct | 1555675420 |
9 | 531021732 |
10 | 230128400 |
11 | 1089a0967 |
12 | 650a01a8 |
13 | 388a5868 |
14 | 227c606c |
15 | 1530b2d5 |
hex | db77b10 |
230128400 has 60 divisors (see below), whose sum is σ = 556995600. Its totient is φ = 91367040.
The previous prime is 230128391. The next prime is 230128429. The reversal of 230128400 is 4821032.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53531 + ... + 57669.
It is an arithmetic number, because the mean of its divisors is an integer number (9283260).
Almost surely, 2230128400 is an apocalyptic number.
230128400 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 230128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278497800).
230128400 is an abundant number, since it is smaller than the sum of its proper divisors (326867200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230128400 is a wasteful number, since it uses less digits than its factorization.
230128400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4296 (or 4285 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 230128400 is about 15169.9835200965. The cubic root of 230128400 is about 612.8065604081.
Adding to 230128400 its reverse (4821032), we get a palindrome (234949432).
The spelling of 230128400 in words is "two hundred thirty million, one hundred twenty-eight thousand, four hundred".
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