Base | Representation |
---|---|
bin | 101010011011… |
… | …0110011010000 |
3 | 1112212010210121 |
4 | 1110312303100 |
5 | 21143311220 |
6 | 2112440024 |
7 | 360034642 |
oct | 124666320 |
9 | 45763717 |
10 | 22244560 |
11 | 11613738 |
12 | 7549014 |
13 | 47bac80 |
14 | 2d50892 |
15 | 1e45eaa |
hex | 1536cd0 |
22244560 has 80 divisors (see below), whose sum is σ = 56652624. Its totient is φ = 8073216.
The previous prime is 22244549. The next prime is 22244561. The reversal of 22244560 is 6544222.
It can be written as a sum of positive squares in 8 ways, for example, as 41616 + 22202944 = 204^2 + 4712^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22244561) 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, 75774 + ... + 76066.
Almost surely, 222244560 is an apocalyptic number.
22244560 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 22244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28326312).
22244560 is an abundant number, since it is smaller than the sum of its proper divisors (34408064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22244560 is a wasteful number, since it uses less digits than its factorization.
22244560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 392 (or 386 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 25.
The square root of 22244560 is about 4716.4138919310. The cubic root of 22244560 is about 281.2383922781.
Adding to 22244560 its reverse (6544222), we get a palindrome (28788782).
The spelling of 22244560 in words is "twenty-two million, two hundred forty-four thousand, five hundred sixty".
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