Base | Representation |
---|---|
bin | 101010111110… |
… | …1110010100000 |
3 | 1120101220122210 |
4 | 1111331302200 |
5 | 21232112303 |
6 | 2123002120 |
7 | 362355444 |
oct | 125756240 |
9 | 46356583 |
10 | 22535328 |
11 | 117a2142 |
12 | 7669340 |
13 | 489041a |
14 | 2dc8824 |
15 | 1ea2203 |
hex | 157dca0 |
22535328 has 24 divisors (see below), whose sum is σ = 59155488. Its totient is φ = 7511744.
The previous prime is 22535327. The next prime is 22535333. The reversal of 22535328 is 82353522.
It is a tau number, because it is divible by the number of its divisors (24).
It is a super-3 number, since 3×225353283 (a number of 23 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22535295 and 22535304.
It is not an unprimeable number, because it can be changed into a prime (22535321) 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 3 ways as a sum of consecutive naturals, for example, 117276 + ... + 117467.
It is an arithmetic number, because the mean of its divisors is an integer number (2464812).
Almost surely, 222535328 is an apocalyptic number.
It is an amenable number.
22535328 is an abundant number, since it is smaller than the sum of its proper divisors (36620160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22535328 is a wasteful number, since it uses less digits than its factorization.
22535328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234756 (or 234748 counting only the distinct ones).
The product of its digits is 14400, while the sum is 30.
The square root of 22535328 is about 4747.1389278175. The cubic root of 22535328 is about 282.4584866036.
It can be divided in two parts, 225 and 35328, that added together give a palindrome (35553).
The spelling of 22535328 in words is "twenty-two million, five hundred thirty-five thousand, three hundred twenty-eight".
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