Base | Representation |
---|---|
bin | 101010001101… |
… | …1110101000000 |
3 | 1112122112020202 |
4 | 1110123311000 |
5 | 21131242310 |
6 | 2110224332 |
7 | 356064563 |
oct | 124336500 |
9 | 45575222 |
10 | 22134080 |
11 | 11548731 |
12 | 74b50a8 |
13 | 477c8b7 |
14 | 2d224da |
15 | 1e233a5 |
hex | 151bd40 |
22134080 has 42 divisors (see below), whose sum is σ = 52907946. Its totient is φ = 8819968.
The previous prime is 22134071. The next prime is 22134097. The reversal of 22134080 is 8043122.
It can be written as a sum of positive squares in only one way, i.e., 17707264 + 4426816 = 4208^2 + 2104^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84029 + ... + 84291.
It is an arithmetic number, because the mean of its divisors is an integer number (1259713).
Almost surely, 222134080 is an apocalyptic number.
22134080 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 22134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453973).
22134080 is an abundant number, since it is smaller than the sum of its proper divisors (30773866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22134080 is an frugal number, since it uses more digits than its factorization.
22134080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 543 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 22134080 is about 4704.6870246596. The cubic root of 22134080 is about 280.7720190840.
Multiplying 22134080 by its sum of digits (20), we get a square (442681600 = 210402).
22134080 divided by its sum of digits (20) gives a square (1106704 = 10522).
The spelling of 22134080 in words is "twenty-two million, one hundred thirty-four thousand, eighty".
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