Base | Representation |
---|---|
bin | 101010100000… |
… | …0111010110000 |
3 | 1112221020122102 |
4 | 1111000322300 |
5 | 21201123000 |
6 | 2113355532 |
7 | 360266522 |
oct | 125007260 |
9 | 45836572 |
10 | 22286000 |
11 | 11641890 |
12 | 7568ba8 |
13 | 4803aa9 |
14 | 2d61a12 |
15 | 1e533d5 |
hex | 1540eb0 |
22286000 has 80 divisors (see below), whose sum is σ = 58844448. Its totient is φ = 8096000.
The previous prime is 22285981. The next prime is 22286003. The reversal of 22286000 is 68222.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (22286003) 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, 21494 + ... + 22506.
Almost surely, 222286000 is an apocalyptic number.
22286000 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 22286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422224).
22286000 is an abundant number, since it is smaller than the sum of its proper divisors (36558448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22286000 is a wasteful number, since it uses less digits than its factorization.
22286000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 22286000 is about 4720.8050160963. The cubic root of 22286000 is about 281.4129261759.
It can be divided in two parts, 2228 and 6000, that added together give a palindrome (8228).
The spelling of 22286000 in words is "twenty-two million, two hundred eighty-six thousand".
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