Base | Representation |
---|---|
bin | 101011101010… |
… | …1101101010000 |
3 | 1121002012122021 |
4 | 1113111231100 |
5 | 21330123230 |
6 | 2134421224 |
7 | 365415361 |
oct | 127255520 |
9 | 47065567 |
10 | 22895440 |
11 | 11a18757 |
12 | 7801814 |
13 | 49882c9 |
14 | 307db68 |
15 | 2023c7a |
hex | 15d5b50 |
22895440 has 40 divisors (see below), whose sum is σ = 53646120. Its totient is φ = 9086976.
The previous prime is 22895429. The next prime is 22895449. The reversal of 22895440 is 4459822.
It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 15968016 = 2632^2 + 3996^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 22895396 and 22895405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22895449) 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, 9916 + ... + 12004.
It is an arithmetic number, because the mean of its divisors is an integer number (1341153).
Almost surely, 222895440 is an apocalyptic number.
22895440 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 22895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823060).
22895440 is an abundant number, since it is smaller than the sum of its proper divisors (30750680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22895440 is a wasteful number, since it uses less digits than its factorization.
22895440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 34.
The square root of 22895440 is about 4784.9179721287. The cubic root of 22895440 is about 283.9550944010.
The spelling of 22895440 in words is "twenty-two million, eight hundred ninety-five thousand, four hundred forty".
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