Base | Representation |
---|---|
bin | 101011101010… |
… | …1010110100000 |
3 | 1121002010122100 |
4 | 1113111112200 |
5 | 21330101414 |
6 | 2134410400 |
7 | 365411211 |
oct | 127252640 |
9 | 47063570 |
10 | 22893984 |
11 | 11a17653 |
12 | 7800a00 |
13 | 4987749 |
14 | 307d408 |
15 | 2023609 |
hex | 15d55a0 |
22893984 has 36 divisors (see below), whose sum is σ = 65105586. Its totient is φ = 7631232.
The previous prime is 22893979. The next prime is 22893989. The reversal of 22893984 is 48939822.
It is an interprime number because it is at equal distance from previous prime (22893979) and next prime (22893989).
It can be written as a sum of positive squares in only one way, i.e., 15210000 + 7683984 = 3900^2 + 2772^2 .
It is a tau number, because it is divible by the number of its divisors (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 (22893989) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39459 + ... + 40034.
Almost surely, 222893984 is an apocalyptic number.
22893984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
22893984 is an abundant number, since it is smaller than the sum of its proper divisors (42211602).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22893984 is a wasteful number, since it uses less digits than its factorization.
22893984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79509 (or 79498 counting only the distinct ones).
The product of its digits is 248832, while the sum is 45.
The square root of 22893984 is about 4784.7658249908. The cubic root of 22893984 is about 283.9490750454.
The spelling of 22893984 in words is "twenty-two million, eight hundred ninety-three thousand, nine hundred eighty-four".
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