Base | Representation |
---|---|
bin | 101010001111… |
… | …0000011000000 |
3 | 1112122222201100 |
4 | 1110132003000 |
5 | 21132040133 |
6 | 2110334400 |
7 | 356133225 |
oct | 124360300 |
9 | 45588640 |
10 | 22143168 |
11 | 11554543 |
12 | 74ba400 |
13 | 4783a88 |
14 | 2d2594c |
15 | 1e25e13 |
hex | 151e0c0 |
22143168 has 84 divisors (see below), whose sum is σ = 65247520. Its totient is φ = 7174656.
The previous prime is 22143161. The next prime is 22143179. The reversal of 22143168 is 86134122.
22143168 is a `hidden beast` number, since 221 + 431 + 6 + 8 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22143161) 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, 20793 + ... + 21831.
Almost surely, 222143168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32623760).
22143168 is an abundant number, since it is smaller than the sum of its proper divisors (43104352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22143168 is a wasteful number, since it uses less digits than its factorization.
22143168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1094 (or 1081 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 22143168 is about 4705.6527708704. The cubic root of 22143168 is about 280.8104410854.
The spelling of 22143168 in words is "twenty-two million, one hundred forty-three thousand, one hundred sixty-eight".
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