Base | Representation |
---|---|
bin | 100101111111… |
… | …1110010000000 |
3 | 1101111010220122 |
4 | 1023333302000 |
5 | 20100001143 |
6 | 1550555412 |
7 | 331222526 |
oct | 113776200 |
9 | 41433818 |
10 | 19922048 |
11 | 10277803 |
12 | 6808b68 |
13 | 4186ac3 |
14 | 2908316 |
15 | 1b37c68 |
hex | 12ffc80 |
19922048 has 64 divisors (see below), whose sum is σ = 42448320. Its totient is φ = 9292800.
The previous prime is 19922047. The next prime is 19922099. The reversal of 19922048 is 84022991.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 19921999 and 19922017.
It is not an unprimeable number, because it can be changed into a prime (19922041) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 197198 + ... + 197298.
It is an arithmetic number, because the mean of its divisors is an integer number (663255).
Almost surely, 219922048 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 19922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21224160).
19922048 is an abundant number, since it is smaller than the sum of its proper divisors (22526272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19922048 is a wasteful number, since it uses less digits than its factorization.
19922048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 35.
The square root of 19922048 is about 4463.4121476736. The cubic root of 19922048 is about 271.0886453559.
The spelling of 19922048 in words is "nineteen million, nine hundred twenty-two thousand, forty-eight".
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