Base | Representation |
---|---|
bin | 101010100101… |
… | …1010101110000 |
3 | 1120000102012110 |
4 | 1111023111300 |
5 | 21204004223 |
6 | 2114325320 |
7 | 360535134 |
oct | 125132560 |
9 | 46012173 |
10 | 22328688 |
11 | 11670968 |
12 | 7589840 |
13 | 481a355 |
14 | 2d733c4 |
15 | 1e60d93 |
hex | 154b570 |
22328688 has 80 divisors (see below), whose sum is σ = 60103296. Its totient is φ = 7138560.
The previous prime is 22328681. The next prime is 22328689. The reversal of 22328688 is 88682322.
It is a super-3 number, since 3×223286883 (a number of 23 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (73728) is a multiple of the sum of its prime divisors (256).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22328681) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170383 + ... + 170513.
Almost surely, 222328688 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22328688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30051648).
22328688 is an abundant number, since it is smaller than the sum of its proper divisors (37774608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22328688 is a wasteful number, since it uses less digits than its factorization.
22328688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 262 (or 256 counting only the distinct ones).
The product of its digits is 73728, while the sum is 39.
The square root of 22328688 is about 4725.3241158676. The cubic root of 22328688 is about 281.5924902224.
The spelling of 22328688 in words is "twenty-two million, three hundred twenty-eight thousand, six hundred eighty-eight".
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