Base | Representation |
---|---|
bin | 11001100101100… |
… | …11010110000000 |
3 | 112221220001100100 |
4 | 30302303112000 |
5 | 414422102341 |
6 | 33144322400 |
7 | 5214305352 |
oct | 1462632600 |
9 | 487801310 |
10 | 214644096 |
11 | 100185317 |
12 | 5ba73400 |
13 | 35613954 |
14 | 207150d2 |
15 | 13c9d3b6 |
hex | ccb3580 |
214644096 has 96 divisors (see below), whose sum is σ = 644595120. Its totient is φ = 68428800.
The previous prime is 214644071. The next prime is 214644113. The reversal of 214644096 is 690446412.
214644096 is a `hidden beast` number, since 2 + 1 + 4 + 644 + 0 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 214644096.
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, 22446 + ... + 30546.
Almost surely, 2214644096 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 214644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322297560).
214644096 is an abundant number, since it is smaller than the sum of its proper divisors (429951024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214644096 is a wasteful number, since it uses less digits than its factorization.
214644096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8144 (or 8129 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 214644096 is about 14650.7370463059. The cubic root of 214644096 is about 598.7418971392.
The spelling of 214644096 in words is "two hundred fourteen million, six hundred forty-four thousand, ninety-six".
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