Base | Representation |
---|---|
bin | 101010000110… |
… | …0011110000000 |
3 | 1112112022221200 |
4 | 1110030132000 |
5 | 21122234133 |
6 | 2105021200 |
7 | 355413300 |
oct | 124143600 |
9 | 45468850 |
10 | 22071168 |
11 | 11505439 |
12 | 7484800 |
13 | 475a082 |
14 | 2d07600 |
15 | 1e0e913 |
hex | 150c780 |
22071168 has 288 divisors, whose sum is σ = 81628560. Its totient is φ = 5677056.
The previous prime is 22071157. The next prime is 22071173. The reversal of 22071168 is 86117022.
It is a tau number, because it is divible by the number of its divisors (288).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959605 + ... + 959627.
Almost surely, 222071168 is an apocalyptic number.
22071168 is a gapful number since it is divisible by the number (28) 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 22071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814280).
22071168 is an abundant number, since it is smaller than the sum of its proper divisors (59557392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22071168 is a wasteful number, since it uses less digits than its factorization.
22071168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 22071168 is about 4697.9961685808. The cubic root of 22071168 is about 280.5057525963.
It can be divided in two parts, 2207 and 1168, that added together give a cube (3375 = 153).
The spelling of 22071168 in words is "twenty-two million, seventy-one thousand, one hundred sixty-eight".
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