| Base | Representation |
|---|---|
| bin | 11001100000110… |
| … | …01101111110000 |
| 3 | 112220201002100000 |
| 4 | 30300121233300 |
| 5 | 414241434320 |
| 6 | 33123030000 |
| 7 | 5206045215 |
| oct | 1460315760 |
| 9 | 486632300 |
| 10 | 214014960 |
| 11 | aa895675 |
| 12 | 5b80b300 |
| 13 | 35453493 |
| 14 | 205cdb0c |
| 15 | 13bc6c90 |
| hex | cc19bf0 |
214014960 has 240 divisors, whose sum is σ = 759638880. Its totient is φ = 55987200.
The previous prime is 214014953. The next prime is 214014967. The reversal of 214014960 is 69410412.
214014960 is digitally balanced in base 2, 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 (214014953) and next prime (214014967).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214014967) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963386 + ... + 1963494.
It is an arithmetic number, because the mean of its divisors is an integer number (3165162).
Almost surely, 2214014960 is an apocalyptic number.
214014960 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 214014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379819440).
214014960 is an abundant number, since it is smaller than the sum of its proper divisors (545623920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214014960 is a wasteful number, since it uses less digits than its factorization.
214014960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 214014960 is about 14629.2501516653. The cubic root of 214014960 is about 598.1563406697.
The spelling of 214014960 in words is "two hundred fourteen million, fourteen thousand, nine hundred sixty".
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