| Base | Representation |
|---|---|
| bin | 11001100110001… |
| … | …11101000100000 |
| 3 | 112222001021100021 |
| 4 | 30303013220200 |
| 5 | 414432232300 |
| 6 | 33150203224 |
| 7 | 5215102552 |
| oct | 1463075040 |
| 9 | 488037307 |
| 10 | 214727200 |
| 11 | 1002317a6 |
| 12 | 5bab3514 |
| 13 | 3564271c |
| 14 | 207374d2 |
| 15 | 13cb7d1a |
| hex | ccc7a20 |
214727200 has 72 divisors (see below), whose sum is σ = 528247440. Its totient is φ = 85228800.
The previous prime is 214727197. The next prime is 214727203. The reversal of 214727200 is 2727412.
214727200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (214727197) and next prime (214727203).
It is a super-2 number, since 2×2147272002 = 92215540839680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (214727203) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110235 + ... + 112165.
It is an arithmetic number, because the mean of its divisors is an integer number (7336770).
Almost surely, 2214727200 is an apocalyptic number.
214727200 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 214727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264123720).
214727200 is an abundant number, since it is smaller than the sum of its proper divisors (313520240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214727200 is a wasteful number, since it uses less digits than its factorization.
214727200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2090 (or 2077 counting only the distinct ones).
The product of its (nonzero) digits is 1568, while the sum is 25.
The square root of 214727200 is about 14653.5729431426. The cubic root of 214727200 is about 598.8191590304.
The spelling of 214727200 in words is "two hundred fourteen million, seven hundred twenty-seven thousand, two hundred".
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