Base | Representation |
---|---|
bin | 101001111101… |
… | …1010101000000 |
3 | 1112101202122101 |
4 | 1103323111000 |
5 | 21113012320 |
6 | 2103320144 |
7 | 355001512 |
oct | 123732500 |
9 | 45352571 |
10 | 22000960 |
11 | 11467713 |
12 | 7450054 |
13 | 4734127 |
14 | 2cc9bb2 |
15 | 1de8c0a |
hex | 14fb540 |
22000960 has 56 divisors (see below), whose sum is σ = 52806600. Its totient is φ = 8730624.
The previous prime is 22000939. The next prime is 22000961. The reversal of 22000960 is 6900022.
It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 11451456 = 3248^2 + 3384^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22000961) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62866 + ... + 63214.
It is an arithmetic number, because the mean of its divisors is an integer number (942975).
Almost surely, 222000960 is an apocalyptic number.
22000960 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 22000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403300).
22000960 is an abundant number, since it is smaller than the sum of its proper divisors (30805640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000960 is a wasteful number, since it uses less digits than its factorization.
22000960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 563 (or 553 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 22000960 is about 4690.5180950509. The cubic root of 22000960 is about 280.2080086998.
Adding to 22000960 its reverse (6900022), we get a palindrome (28900982).
The spelling of 22000960 in words is "twenty-two million, nine hundred sixty", and thus it is an aban number.
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