Base | Representation |
---|---|
bin | 11001110100001… |
… | …01010001110100 |
3 | 120002111000021100 |
4 | 30322011101310 |
5 | 420414140224 |
6 | 33253250100 |
7 | 5236444404 |
oct | 1472052164 |
9 | 502430240 |
10 | 216552564 |
11 | 101269168 |
12 | 60633930 |
13 | 35b31517 |
14 | 20a90804 |
15 | 14028ac9 |
hex | ce85474 |
216552564 has 36 divisors (see below), whose sum is σ = 562194724. Its totient is φ = 70232832.
The previous prime is 216552559. The next prime is 216552571. The reversal of 216552564 is 465255612.
It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 114704100 = 10092^2 + 10710^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79957 + ... + 82620.
Almost surely, 2216552564 is an apocalyptic number.
It is an amenable number.
216552564 is an abundant number, since it is smaller than the sum of its proper divisors (345642160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216552564 is a wasteful number, since it uses less digits than its factorization.
216552564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162624 (or 162619 counting only the distinct ones).
The product of its digits is 72000, while the sum is 36.
The square root of 216552564 is about 14715.7250585895. The cubic root of 216552564 is about 600.5111976712.
The spelling of 216552564 in words is "two hundred sixteen million, five hundred fifty-two thousand, five hundred sixty-four".
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