Base | Representation |
---|---|
bin | 101011010000… |
… | …1001010110000 |
3 | 1120200021102220 |
4 | 1112201022300 |
5 | 21301231430 |
6 | 2130041040 |
7 | 363531102 |
oct | 126411260 |
9 | 46607386 |
10 | 22680240 |
11 | 11891000 |
12 | 7719180 |
13 | 491137b |
14 | 3025572 |
15 | 1ed0110 |
hex | 15a12b0 |
22680240 has 160 divisors (see below), whose sum is σ = 78423552. Its totient is φ = 5420800.
The previous prime is 22680211. The next prime is 22680241. The reversal of 22680240 is 4208622.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 22680240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22680241) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319405 + ... + 319475.
Almost surely, 222680240 is an apocalyptic number.
22680240 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 22680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211776).
22680240 is an abundant number, since it is smaller than the sum of its proper divisors (55743312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22680240 is a wasteful number, since it uses less digits than its factorization.
22680240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 120 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 22680240 is about 4762.3775574811. The cubic root of 22680240 is about 283.0626372692.
Adding to 22680240 its reverse (4208622), we get a palindrome (26888862).
The spelling of 22680240 in words is "twenty-two million, six hundred eighty thousand, two hundred forty".
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