| Base | Representation |
|---|---|
| bin | 11001100100000… |
| … | …00000101100000 |
| 3 | 112221111101100100 |
| 4 | 30302000011200 |
| 5 | 414343343034 |
| 6 | 33140022400 |
| 7 | 5212442301 |
| oct | 1462000540 |
| 9 | 487441310 |
| 10 | 214434144 |
| 11 | 100051601 |
| 12 | 5b991a00 |
| 13 | 3556c212 |
| 14 | 2069c7a8 |
| 15 | 13c5b099 |
| hex | cc80160 |
214434144 has 72 divisors (see below), whose sum is σ = 611596440. Its totient is φ = 71267328.
The previous prime is 214434127. The next prime is 214434167. The reversal of 214434144 is 441434412.
214434144 is a `hidden beast` number, since 214 + 434 + 14 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×2144341443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119784 + ... + 121560.
It is an arithmetic number, because the mean of its divisors is an integer number (8494395).
Almost surely, 2214434144 is an apocalyptic number.
214434144 is a gapful number since it is divisible by the number (24) 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 214434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305798220).
214434144 is an abundant number, since it is smaller than the sum of its proper divisors (397162296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214434144 is a wasteful number, since it uses less digits than its factorization.
214434144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 214434144 is about 14643.5700565129. The cubic root of 214434144 is about 598.5466156324.
Adding to 214434144 its reverse (441434412), we get a palindrome (655868556).
The spelling of 214434144 in words is "two hundred fourteen million, four hundred thirty-four thousand, one hundred forty-four".
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