Base | Representation |
---|---|
bin | 11001100011011… |
… | …10111110111000 |
3 | 112221100211020200 |
4 | 30301232332320 |
5 | 414334122323 |
6 | 33134322200 |
7 | 5212031121 |
oct | 1461567670 |
9 | 487324220 |
10 | 214364088 |
11 | 100003a04 |
12 | 5b959360 |
13 | 35546373 |
14 | 20681048 |
15 | 13c45443 |
hex | cc6efb8 |
214364088 has 96 divisors (see below), whose sum is σ = 605663760. Its totient is φ = 68428800.
The previous prime is 214364081. The next prime is 214364089. The reversal of 214364088 is 880463412.
214364088 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 640 + 8 + 8 = 666.
214364088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214364081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177888 + ... + 179088.
Almost surely, 2214364088 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 214364088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302831880).
214364088 is an abundant number, since it is smaller than the sum of its proper divisors (391299672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214364088 is a wasteful number, since it uses less digits than its factorization.
214364088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 214364088 is about 14641.1778214732. The cubic root of 214364088 is about 598.4814264666.
The spelling of 214364088 in words is "two hundred fourteen million, three hundred sixty-four thousand, eighty-eight".
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