Base | Representation |
---|---|
bin | 11001100010110… |
… | …10011100000000 |
3 | 112221012112210221 |
4 | 30301122130000 |
5 | 414323424221 |
6 | 33132432424 |
7 | 5211230563 |
oct | 1461323400 |
9 | 487175727 |
10 | 214279936 |
11 | aaa56762 |
12 | 5b918714 |
13 | 35516c80 |
14 | 2065c4da |
15 | 13c2a541 |
hex | cc5a700 |
214279936 has 108 divisors (see below), whose sum is σ = 483066696. Its totient is φ = 94279680.
The previous prime is 214279931. The next prime is 214279943. The reversal of 214279936 is 639972412.
It is a junction number, because it is equal to n+sod(n) for n = 214279892 and 214279901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214279931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198175 + ... + 3198241.
Almost surely, 2214279936 is an apocalyptic number.
214279936 is a gapful number since it is divisible by the number (26) 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 214279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241533348).
214279936 is an abundant number, since it is smaller than the sum of its proper divisors (268786760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214279936 is an equidigital number, since it uses as much as digits as its factorization.
214279936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 113 counting only the distinct ones).
The product of its digits is 163296, while the sum is 43.
The square root of 214279936 is about 14638.3037268667. The cubic root of 214279936 is about 598.4031017788.
The spelling of 214279936 in words is "two hundred fourteen million, two hundred seventy-nine thousand, nine hundred thirty-six".
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