Base | Representation |
---|---|
bin | 10111101100001… |
… | …00001000000000 |
3 | 111211221010101212 |
4 | 23312010020000 |
5 | 401333101143 |
6 | 31415145252 |
7 | 4632052400 |
oct | 1366041000 |
9 | 454833355 |
10 | 198722048 |
11 | a219a8a8 |
12 | 56675228 |
13 | 3222a715 |
14 | 1c56c800 |
15 | 126a5918 |
hex | bd84200 |
198722048 has 90 divisors (see below), whose sum is σ = 467129421. Its totient is φ = 84209664.
The previous prime is 198722033. The next prime is 198722071. The reversal of 198722048 is 840227891.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 177635584 + 21086464 = 13328^2 + 4592^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=9968.
It is a super-2 number, since 2×1987220482 = 78980904722628608, which contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 198721996 and 198722014.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2232788 + ... + 2232876.
Almost surely, 2198722048 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 198722048
198722048 is an abundant number, since it is smaller than the sum of its proper divisors (268407373).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198722048 is an frugal number, since it uses more digits than its factorization.
198722048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 98 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 41.
The square root of 198722048 is about 14096.8807897350. The cubic root of 198722048 is about 583.5553004164. Note that the first 3 decimals are identical.
The spelling of 198722048 in words is "one hundred ninety-eight million, seven hundred twenty-two thousand, forty-eight".
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