Base | Representation |
---|---|
bin | 1101100001001010100… |
… | …1100000001000100100 |
3 | 211012110021121102210000 |
4 | 3120102221200020210 |
5 | 12301112210302041 |
6 | 254405020501300 |
7 | 22531102544001 |
oct | 3302251401044 |
9 | 735407542700 |
10 | 232241103396 |
11 | 8a5470593a5 |
12 | 390150aa830 |
13 | 18b91aa7753 |
14 | b3520268a8 |
15 | 6093bd8bb6 |
hex | 3612a60224 |
232241103396 has 135 divisors (see below), whose sum is σ = 623247628003. Its totient is φ = 75409902720.
The previous prime is 232241103379. The next prime is 232241103397. The reversal of 232241103396 is 693301142232.
The square root of 232241103396 is 481914.
It is a perfect power (a square), and thus also a powerful number.
232241103396 is a `hidden beast` number, since 23 + 2 + 241 + 1 + 0 + 3 + 396 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 130183856100 + 102057247296 = 360810^2 + 319464^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 232241103396.
It is not an unprimeable number, because it can be changed into a prime (232241103397) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 355652206 + ... + 355652858.
Almost surely, 2232241103396 is an apocalyptic number.
232241103396 is the 481914-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232241103396
232241103396 is an abundant number, since it is smaller than the sum of its proper divisors (391006524607).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232241103396 is an frugal number, since it uses more digits than its factorization.
232241103396 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1404 (or 699 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
Multiplying 232241103396 by its sum of digits (36), we get a square (8360679722256 = 28914842).
232241103396 divided by its sum of digits (36) gives a square (6451141761 = 803192).
The spelling of 232241103396 in words is "two hundred thirty-two billion, two hundred forty-one million, one hundred three thousand, three hundred ninety-six".
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