Base | Representation |
---|---|
bin | 101011100000… |
… | …0000001110000 |
3 | 1120220200211101 |
4 | 1113000001300 |
5 | 21314303030 |
6 | 2132454144 |
7 | 364565443 |
oct | 127000160 |
9 | 46820741 |
10 | 22806640 |
11 | 11967a6a |
12 | 777a354 |
13 | 4956a6c |
14 | 305965a |
15 | 20077ca |
hex | 15c0070 |
22806640 has 40 divisors (see below), whose sum is σ = 53590320. Its totient is φ = 9025536.
The previous prime is 22806629. The next prime is 22806647. The reversal of 22806640 is 4660822.
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 22806599 and 22806608.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22806647) 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, 6291 + ... + 9229.
It is an arithmetic number, because the mean of its divisors is an integer number (1339758).
Almost surely, 222806640 is an apocalyptic number.
22806640 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 22806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26795160).
22806640 is an abundant number, since it is smaller than the sum of its proper divisors (30783680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22806640 is a wasteful number, since it uses less digits than its factorization.
22806640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
The square root of 22806640 is about 4775.6298013979. The cubic root of 22806640 is about 283.5875120078.
The spelling of 22806640 in words is "twenty-two million, eight hundred six thousand, six hundred forty".
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