Base | Representation |
---|---|
bin | 101100011111… |
… | …1111000010000 |
3 | 1121220022011221 |
4 | 1120333320100 |
5 | 21433032240 |
6 | 2152014424 |
7 | 402206266 |
oct | 130777020 |
9 | 47808157 |
10 | 23330320 |
11 | 12195462 |
12 | 7991414 |
13 | 4aab230 |
14 | 3154436 |
15 | 20aca4a |
hex | 163fe10 |
23330320 has 40 divisors (see below), whose sum is σ = 58418136. Its totient is φ = 8613888.
The previous prime is 23330317. The next prime is 23330327. The reversal of 23330320 is 2303332.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 20358144 = 1724^2 + 4512^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 23330294 and 23330303.
It is not an unprimeable number, because it can be changed into a prime (23330327) 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 7 ways as a sum of consecutive naturals, for example, 10177 + ... + 12256.
Almost surely, 223330320 is an apocalyptic number.
23330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23330320 is an abundant number, since it is smaller than the sum of its proper divisors (35087816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23330320 is a wasteful number, since it uses less digits than its factorization.
23330320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22459 (or 22453 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 16.
The square root of 23330320 is about 4830.1469956928. The cubic root of 23330320 is about 285.7416611865.
Adding to 23330320 its reverse (2303332), we get a palindrome (25633652).
The spelling of 23330320 in words is "twenty-three million, three hundred thirty thousand, three hundred twenty".
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