Base | Representation |
---|---|
bin | 11001110111100… |
… | …01110110110100 |
3 | 120010022121100001 |
4 | 30323301312310 |
5 | 421022403200 |
6 | 33311001044 |
7 | 5243306122 |
oct | 1473616664 |
9 | 503277301 |
10 | 216997300 |
11 | 101542313 |
12 | 60809184 |
13 | 35c58a90 |
14 | 20b68912 |
15 | 140b576a |
hex | cef1db4 |
216997300 has 72 divisors (see below), whose sum is σ = 514467072. Its totient is φ = 78960000.
The previous prime is 216997283. The next prime is 216997321. The reversal of 216997300 is 3799612.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 216997300.
It is a congruent number.
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, 91125 + ... + 93475.
It is an arithmetic number, because the mean of its divisors is an integer number (7145376).
Almost surely, 2216997300 is an apocalyptic number.
216997300 is a gapful number since it is divisible by the number (20) 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 216997300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257233536).
216997300 is an abundant number, since it is smaller than the sum of its proper divisors (297469772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216997300 is a wasteful number, since it uses less digits than its factorization.
216997300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 37.
The square root of 216997300 is about 14730.8282183997. The cubic root of 216997300 is about 600.9220083678.
The spelling of 216997300 in words is "two hundred sixteen million, nine hundred ninety-seven thousand, three hundred".
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