| Base | Representation |
|---|---|
| bin | 11001100011001… |
| … | …11101100000000 |
| 3 | 112221022022021000 |
| 4 | 30301213230000 |
| 5 | 414332143313 |
| 6 | 33133532000 |
| 7 | 5211545034 |
| oct | 1461475400 |
| 9 | 487268230 |
| 10 | 214334208 |
| 11 | aaa93510 |
| 12 | 5b944000 |
| 13 | 3553589a |
| 14 | 206741c4 |
| 15 | 13c3b673 |
| hex | cc67b00 |
214334208 has 144 divisors (see below), whose sum is σ = 691689600. Its totient is φ = 64926720.
The previous prime is 214334203. The next prime is 214334213. The reversal of 214334208 is 802433412.
214334208 is a `hidden beast` number, since 21 + 433 + 4 + 208 = 666.
It is an interprime number because it is at equal distance from previous prime (214334203) and next prime (214334213).
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (214334201) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74623 + ... + 77441.
It is an arithmetic number, because the mean of its divisors is an integer number (4803400).
Almost surely, 2214334208 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 214334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345844800).
214334208 is an abundant number, since it is smaller than the sum of its proper divisors (477355392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214334208 is a wasteful number, since it uses less digits than its factorization.
214334208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2855 (or 2835 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 214334208 is about 14640.1573762033. The cubic root of 214334208 is about 598.4536179281.
Subtracting from 214334208 its product of nonzero digits (4608), we obtain a square (214329600 = 146402).
The spelling of 214334208 in words is "two hundred fourteen million, three hundred thirty-four thousand, two hundred eight".
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