Base | Representation |
---|---|
bin | 11001100001011… |
… | …11011010111000 |
3 | 112220212121010000 |
4 | 30300233122320 |
5 | 414302304421 |
6 | 33124553000 |
7 | 5206565100 |
oct | 1460573270 |
9 | 486777100 |
10 | 214103736 |
11 | aa946340 |
12 | 5b852760 |
13 | 35484a02 |
14 | 20614200 |
15 | 13be3226 |
hex | cc2f6b8 |
214103736 has 240 divisors, whose sum is σ = 762256440. Its totient is φ = 55520640.
The previous prime is 214103713. The next prime is 214103749. The reversal of 214103736 is 637301412.
214103736 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 (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348966 + ... + 349578.
Almost surely, 2214103736 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 214103736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381128220).
214103736 is an abundant number, since it is smaller than the sum of its proper divisors (548152704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214103736 is a wasteful number, since it uses less digits than its factorization.
214103736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 656 (or 636 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 214103736 is about 14632.2840322350. The cubic root of 214103736 is about 598.2390367369.
The spelling of 214103736 in words is "two hundred fourteen million, one hundred three thousand, seven hundred thirty-six".
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