Base | Representation |
---|---|
bin | 101011110101… |
… | …0101010000000 |
3 | 1121020120100100 |
4 | 1113222222000 |
5 | 21340344443 |
6 | 2140322400 |
7 | 366223503 |
oct | 127525200 |
9 | 47216310 |
10 | 22981248 |
11 | 11a77174 |
12 | 7843400 |
13 | 49b8394 |
14 | 30a313a |
15 | 203e3d3 |
hex | 15eaa80 |
22981248 has 48 divisors (see below), whose sum is σ = 66134250. Its totient is φ = 7660032.
The previous prime is 22981247. The next prime is 22981249. The reversal of 22981248 is 84218922.
It is an interprime number because it is at equal distance from previous prime (22981247) and next prime (22981249).
It can be written as a sum of positive squares in only one way, i.e., 22353984 + 627264 = 4728^2 + 792^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (22981243) by changing a digit.
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, 8823 + ... + 11126.
Almost surely, 222981248 is an apocalyptic number.
It is an amenable number.
22981248 is an abundant number, since it is smaller than the sum of its proper divisors (43153002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22981248 is a wasteful number, since it uses less digits than its factorization.
22981248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19969 (or 19954 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 22981248 is about 4793.8760935176. The cubic root of 22981248 is about 284.3093897343.
The spelling of 22981248 in words is "twenty-two million, nine hundred eighty-one thousand, two hundred forty-eight".
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