| Base | Representation |
|---|---|
| bin | 11001100001001… |
| … | …11011101010000 |
| 3 | 112220210221101000 |
| 4 | 30300213131100 |
| 5 | 414300233440 |
| 6 | 33124142000 |
| 7 | 5206401024 |
| oct | 1460473520 |
| 9 | 486727330 |
| 10 | 214071120 |
| 11 | aa92388a |
| 12 | 5b837900 |
| 13 | 35472c03 |
| 14 | 20606384 |
| 15 | 13bd8730 |
| hex | cc27750 |
214071120 has 320 divisors, whose sum is σ = 799948800. Its totient is φ = 52462080.
The previous prime is 214071107. The next prime is 214071133. The reversal of 214071120 is 21170412.
214071120 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 (214071107) and next prime (214071133).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 214071093 and 214071102.
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 63 ways as a sum of consecutive naturals, for example, 1540011 + ... + 1540149.
It is an arithmetic number, because the mean of its divisors is an integer number (2499840).
Almost surely, 2214071120 is an apocalyptic number.
214071120 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 214071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).
214071120 is an abundant number, since it is smaller than the sum of its proper divisors (585877680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214071120 is a wasteful number, since it uses less digits than its factorization.
214071120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215 (or 203 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 18.
The square root of 214071120 is about 14631.1694679544. The cubic root of 214071120 is about 598.2086571404.
The spelling of 214071120 in words is "two hundred fourteen million, seventy-one thousand, one hundred twenty".
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