Base | Representation |
---|---|
bin | 101010001010… |
… | …0110000110100 |
3 | 1112121001112220 |
4 | 1110110300310 |
5 | 21124331030 |
6 | 2105442340 |
7 | 355614321 |
oct | 124246064 |
9 | 45531486 |
10 | 22105140 |
11 | 11528a12 |
12 | 74a03b0 |
13 | 476c685 |
14 | 2d15b48 |
15 | 1e19a10 |
hex | 1514c34 |
22105140 has 48 divisors (see below), whose sum is σ = 62778240. Its totient is φ = 5810560.
The previous prime is 22105103. The next prime is 22105147. The reversal of 22105140 is 4150122.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22105147) 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, 1666 + ... + 6854.
It is an arithmetic number, because the mean of its divisors is an integer number (1307880).
Almost surely, 222105140 is an apocalyptic number.
22105140 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 22105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31389120).
22105140 is an abundant number, since it is smaller than the sum of its proper divisors (40673100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22105140 is a wasteful number, since it uses less digits than its factorization.
22105140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5272 (or 5270 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 22105140 is about 4701.6103624184. The cubic root of 22105140 is about 280.6495972176.
Adding to 22105140 its reverse (4150122), we get a palindrome (26255262).
The spelling of 22105140 in words is "twenty-two million, one hundred five thousand, one hundred forty".
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