| Base | Representation |
|---|---|
| bin | 11001110001000… |
| … | …00111110000000 |
| 3 | 120001201010200000 |
| 4 | 30320200332000 |
| 5 | 420313013241 |
| 6 | 33240400000 |
| 7 | 5233113501 |
| oct | 1470407600 |
| 9 | 501633600 |
| 10 | 216141696 |
| 11 | 101008501 |
| 12 | 60476000 |
| 13 | 35a194c4 |
| 14 | 209c4ba8 |
| 15 | 13e96eb6 |
| hex | ce20f80 |
216141696 has 96 divisors (see below), whose sum is σ = 645099000. Its totient is φ = 72036864.
The previous prime is 216141671. The next prime is 216141697. The reversal of 216141696 is 696141612.
216141696 is a `hidden beast` number, since 21 + 614 + 16 + 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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an alternating number because its digits alternate between even and odd.
It is a self number, because there is not a number n which added to its sum of digits gives 216141696.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (216141697) 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, 27630 + ... + 34578.
Almost surely, 2216141696 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 216141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322549500).
216141696 is an abundant number, since it is smaller than the sum of its proper divisors (428957304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216141696 is an frugal number, since it uses more digits than its factorization.
216141696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6978 (or 6954 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The square root of 216141696 is about 14701.7582621944. The cubic root of 216141696 is about 600.1311713214.
The spelling of 216141696 in words is "two hundred sixteen million, one hundred forty-one thousand, six hundred ninety-six".
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