Base | Representation |
---|---|
bin | 11011110001111… |
… | …00010110000000 |
3 | 121020111012111021 |
4 | 31320330112000 |
5 | 434123443130 |
6 | 35042355224 |
7 | 5526505534 |
oct | 1570742600 |
9 | 536435437 |
10 | 233031040 |
11 | 10a5a3740 |
12 | 6605bb14 |
13 | 39380ab8 |
14 | 22d3dbc4 |
15 | 156d137a |
hex | de3c580 |
233031040 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 83466240.
The previous prime is 233031031. The next prime is 233031047. The reversal of 233031040 is 40130332.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233031047) 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 15 ways as a sum of consecutive naturals, for example, 555951 + ... + 556369.
It is an arithmetic number, because the mean of its divisors is an integer number (4819500).
Almost surely, 2233031040 is an apocalyptic number.
233031040 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 233031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).
233031040 is an abundant number, since it is smaller than the sum of its proper divisors (383864960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233031040 is a wasteful number, since it uses less digits than its factorization.
233031040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 528 (or 516 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 233031040 is about 15265.3542376193. The cubic root of 233031040 is about 615.3722733422.
Adding to 233031040 its reverse (40130332), we get a palindrome (273161372).
The spelling of 233031040 in words is "two hundred thirty-three million, thirty-one thousand, forty".
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