Base | Representation |
---|---|
bin | 10100110001001101… |
… | …011100011010101100 |
3 | 2010120011012221121200 |
4 | 110301031130122230 |
5 | 331132403204312 |
6 | 14124503525500 |
7 | 1416424435455 |
oct | 246115343254 |
9 | 63504187550 |
10 | 22300444332 |
11 | 9504023991 |
12 | 43a4459890 |
13 | 21451770ba |
14 | 1117a2c12c |
15 | 8a7bc90dc |
hex | 53135c6ac |
22300444332 has 72 divisors (see below), whose sum is σ = 58410992640. Its totient is φ = 7166244960.
The previous prime is 22300444319. The next prime is 22300444393. The reversal of 22300444332 is 23344400322.
22300444332 is a `hidden beast` number, since 22 + 300 + 4 + 4 + 4 + 332 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 22300444296 and 22300444305.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255519 + ... + 331497.
Almost surely, 222300444332 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 22300444332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29205496320).
22300444332 is an abundant number, since it is smaller than the sum of its proper divisors (36110548308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22300444332 is a wasteful number, since it uses less digits than its factorization.
22300444332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76283 (or 76278 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 27.
Adding to 22300444332 its reverse (23344400322), we get a palindrome (45644844654).
The spelling of 22300444332 in words is "twenty-two billion, three hundred million, four hundred forty-four thousand, three hundred thirty-two".
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