Base | Representation |
---|---|
bin | 101010010110… |
… | …0001010101000 |
3 | 1112202221001021 |
4 | 1110230022220 |
5 | 21140413000 |
6 | 2111502224 |
7 | 356463643 |
oct | 124541250 |
9 | 45687037 |
10 | 22201000 |
11 | 11593a38 |
12 | 7527974 |
13 | 47a41b3 |
14 | 2d3ca5a |
15 | 1e3811a |
hex | 152c2a8 |
22201000 has 48 divisors (see below), whose sum is σ = 52301340. Its totient is φ = 8820800.
The previous prime is 22200947. The next prime is 22201001. The reversal of 22201000 is 10222.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 1425636 + 20775364 = 1194^2 + 4558^2 .
It is not an unprimeable number, because it can be changed into a prime (22201001) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148926 + ... + 149074.
Almost surely, 222201000 is an apocalyptic number.
22201000 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 22201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150670).
22201000 is an abundant number, since it is smaller than the sum of its proper divisors (30100340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201000 is an equidigital number, since it uses as much as digits as its factorization.
22201000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
The square root of 22201000 is about 4711.7937136509. The cubic root of 22201000 is about 281.0546956848.
Adding to 22201000 its reverse (10222), we get a palindrome (22211222).
The spelling of 22201000 in words is "twenty-two million, two hundred one thousand".
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