Base | Representation |
---|---|
bin | 101011001111… |
… | …1011000110000 |
3 | 1120122220102200 |
4 | 1112133120300 |
5 | 21301013234 |
6 | 2125543200 |
7 | 363500610 |
oct | 126373060 |
9 | 46586380 |
10 | 22672944 |
11 | 11886578 |
12 | 7714b00 |
13 | 490ac58 |
14 | 3022a40 |
15 | 1eccd99 |
hex | 159f630 |
22672944 has 120 divisors (see below), whose sum is σ = 73661952. Its totient is φ = 6376320.
The previous prime is 22672939. The next prime is 22672999. The reversal of 22672944 is 44927622.
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 a junction number, because it is equal to n+sod(n) for n = 22672899 and 22672908.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83529 + ... + 83799.
Almost surely, 222672944 is an apocalyptic number.
22672944 is a gapful number since it is divisible by the number (24) 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 22672944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976).
22672944 is an abundant number, since it is smaller than the sum of its proper divisors (50989008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22672944 is a wasteful number, since it uses less digits than its factorization.
22672944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375 (or 366 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 22672944 is about 4761.6114919216. The cubic root of 22672944 is about 283.0322812340.
The spelling of 22672944 in words is "twenty-two million, six hundred seventy-two thousand, nine hundred forty-four".
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