Base | Representation |
---|---|
bin | 11011100011100… |
… | …11111100010000 |
3 | 121002222020010100 |
4 | 31301303330100 |
5 | 433134132431 |
6 | 34534332400 |
7 | 5504561400 |
oct | 1561637420 |
9 | 532866110 |
10 | 231161616 |
11 | 109537164 |
12 | 654ba100 |
13 | 38b77c2a |
14 | 229b4800 |
15 | 154624e6 |
hex | dc73f10 |
231161616 has 135 divisors (see below), whose sum is σ = 756733653. Its totient is φ = 65681280.
The previous prime is 231161611. The next prime is 231161617. The reversal of 231161616 is 616161132.
The square root of 231161616 is 15204.
It is a perfect power (a square), and thus also a powerful number.
231161616 is a `hidden beast` number, since 2 + 31 + 1 + 616 + 16 = 666.
It can be written as a sum of positive squares in only one way, i.e., 2547216 + 228614400 = 1596^2 + 15120^2 .
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 231161616.
It is not an unprimeable number, because it can be changed into a prime (231161611) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1277046 + ... + 1277226.
Almost surely, 2231161616 is an apocalyptic number.
231161616 is the 15204-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 231161616
231161616 is an abundant number, since it is smaller than the sum of its proper divisors (525572037).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231161616 is a wasteful number, since it uses less digits than its factorization.
231161616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 390 (or 193 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
The cubic root of 231161616 is about 613.7223047249.
Multiplying 231161616 by its product of digits (1296), we get a square (299585454336 = 5473442).
The spelling of 231161616 in words is "two hundred thirty-one million, one hundred sixty-one thousand, six hundred sixteen".
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