| Base | Representation |
|---|---|
| bin | 10111101010000… |
| … | …01101101010000 |
| 3 | 111211102022020000 |
| 4 | 23311001231100 |
| 5 | 401300400000 |
| 6 | 31405250000 |
| 7 | 4626540300 |
| oct | 1365015520 |
| 9 | 454368200 |
| 10 | 198450000 |
| 11 | a2024471 |
| 12 | 56563900 |
| 13 | 32163948 |
| 14 | 1c4db600 |
| 15 | 12650000 |
| hex | bd41b50 |
198450000 has 450 divisors, whose sum is σ = 835130142. Its totient is φ = 45360000.
The previous prime is 198449939. The next prime is 198450017. The reversal of 198450000 is 54891.
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 3 ways, for example, as 91699776 + 106750224 = 9576^2 + 10332^2 .
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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 89 ways as a sum of consecutive naturals, for example, 28349997 + ... + 28350003.
Almost surely, 2198450000 is an apocalyptic number.
198450000 is a gapful number since it is divisible by the number (10) 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 198450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417565071).
198450000 is an abundant number, since it is smaller than the sum of its proper divisors (636680142).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198450000 is an frugal number, since it uses more digits than its factorization.
198450000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 27.
The square root of 198450000 is about 14087.2282582487. The cubic root of 198450000 is about 583.2888855022.
It can be divided in two parts, 1984 and 50000, that added together give a square (51984 = 2282).
The spelling of 198450000 in words is "one hundred ninety-eight million, four hundred fifty thousand".
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