| Base | Representation |
|---|---|
| bin | 11001000011000… |
| … | …01010111010000 |
| 3 | 112122100220020000 |
| 4 | 30201201113100 |
| 5 | 412242122000 |
| 6 | 32503250000 |
| 7 | 5130640155 |
| oct | 1441412720 |
| 9 | 478326200 |
| 10 | 210114000 |
| 11 | a8670838 |
| 12 | 5a449900 |
| 13 | 346b8a15 |
| 14 | 1dc9622c |
| 15 | 136a6000 |
| hex | c8615d0 |
210114000 has 200 divisors, whose sum is σ = 759532488. Its totient is φ = 55987200.
The previous prime is 210113987. The next prime is 210114013. The reversal of 210114000 is 411012.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (210113987) and next prime (210114013).
It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 205291584 = 2196^2 + 14328^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161352 + ... + 162648.
Almost surely, 2210114000 is an apocalyptic number.
210114000 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 210114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379766244).
210114000 is an abundant number, since it is smaller than the sum of its proper divisors (549418488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210114000 is a wasteful number, since it uses less digits than its factorization.
210114000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 210114000 is about 14495.3095862075. The cubic root of 210114000 is about 594.4997325025.
Adding to 210114000 its reverse (411012), we get a palindrome (210525012).
The spelling of 210114000 in words is "two hundred ten million, one hundred fourteen thousand".
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