Base | Representation |
---|---|
bin | 11011100111000… |
… | …10001100010000 |
3 | 121010211011120200 |
4 | 31303202030100 |
5 | 433243110300 |
6 | 34552135200 |
7 | 5511452100 |
oct | 1563421420 |
9 | 533734520 |
10 | 231613200 |
11 | 109815475 |
12 | 65697500 |
13 | 38ca5640 |
14 | 22a91200 |
15 | 15501200 |
hex | dce2310 |
231613200 has 540 divisors, whose sum is σ = 1016880228. Its totient is φ = 48384000.
The previous prime is 231613181. The next prime is 231613201. The reversal of 231613200 is 2316132.
231613200 is a `hidden beast` number, since 2 + 31 + 613 + 20 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 231161616 = 672^2 + 15204^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (231613201) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293150 + ... + 2293250.
Almost surely, 2231613200 is an apocalyptic number.
231613200 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 231613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508440114).
231613200 is an abundant number, since it is smaller than the sum of its proper divisors (785267028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231613200 is a wasteful number, since it uses less digits than its factorization.
231613200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 231613200 is about 15218.8435828745. The cubic root of 231613200 is about 614.1216889317.
Adding to 231613200 its reverse (2316132), we get a palindrome (233929332).
Multiplying 231613200 by its reverse (2316132), we get a square (536446744142400 = 231613202).
231613200 divided by its reverse (2316132) gives a square (100 = 102).
The spelling of 231613200 in words is "two hundred thirty-one million, six hundred thirteen thousand, two hundred".
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