Base | Representation |
---|---|
bin | 10111101000011… |
… | …00111100111100 |
3 | 111211000022210220 |
4 | 23310030330330 |
5 | 401221441131 |
6 | 31400501340 |
7 | 4624650306 |
oct | 1364147474 |
9 | 454008726 |
10 | 198233916 |
11 | a1997091 |
12 | 5647a850 |
13 | 320b949a |
14 | 1c482976 |
15 | 1260ae96 |
hex | bd0cf3c |
198233916 has 48 divisors (see below), whose sum is σ = 490680960. Its totient is φ = 62112960.
The previous prime is 198233911. The next prime is 198233947. The reversal of 198233916 is 619332891.
198233916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
198233916 is a nontrivial binomial coefficient, being equal to C(19912, 2).
It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198233911) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26550 + ... + 33186.
It is an arithmetic number, because the mean of its divisors is an integer number (10222520).
Almost surely, 2198233916 is an apocalyptic number.
198233916 is the 19911-st triangular number and also the 9956-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 198233916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245340480).
198233916 is an abundant number, since it is smaller than the sum of its proper divisors (292447044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198233916 is a wasteful number, since it uses less digits than its factorization.
198233916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6794 (or 6792 counting only the distinct ones).
The product of its digits is 69984, while the sum is 42.
The square root of 198233916 is about 14079.5566691569. The cubic root of 198233916 is about 583.0771022326.
The spelling of 198233916 in words is "one hundred ninety-eight million, two hundred thirty-three thousand, nine hundred sixteen".
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