| Base | Representation |
|---|---|
| bin | 11001100111101… |
| … | …01011100000000 |
| 3 | 112222101210201000 |
| 4 | 30303311130000 |
| 5 | 420004233231 |
| 6 | 33154212000 |
| 7 | 5216513544 |
| oct | 1463653400 |
| 9 | 488353630 |
| 10 | 214914816 |
| 11 | 10034a756 |
| 12 | 5bb84000 |
| 13 | 356a9c3c |
| 14 | 20785a24 |
| 15 | 13d036e6 |
| hex | ccf5700 |
214914816 has 288 divisors, whose sum is σ = 706406400. Its totient is φ = 64143360.
The previous prime is 214914781. The next prime is 214914851. The reversal of 214914816 is 618419412.
214914816 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 (214914781) and next prime (214914851).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
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 31 ways as a sum of consecutive naturals, for example, 3642595 + ... + 3642653.
It is an arithmetic number, because the mean of its divisors is an integer number (2452800).
Almost surely, 2214914816 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 214914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).
214914816 is an abundant number, since it is smaller than the sum of its proper divisors (491491584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214914816 is a wasteful number, since it uses less digits than its factorization.
214914816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 112 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 214914816 is about 14659.9732605486. The cubic root of 214914816 is about 598.9935125825.
The spelling of 214914816 in words is "two hundred fourteen million, nine hundred fourteen thousand, eight hundred sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.079 sec. • engine limits •