| Base | Representation |
|---|---|
| bin | 11001110101000… |
| … | …11110100100000 |
| 3 | 120002201100212200 |
| 4 | 30322203310200 |
| 5 | 420432141124 |
| 6 | 33300053200 |
| 7 | 5240505210 |
| oct | 1472436440 |
| 9 | 502640780 |
| 10 | 216677664 |
| 11 | 101344155 |
| 12 | 60694200 |
| 13 | 35b76448 |
| 14 | 20ac4240 |
| 15 | 14050bc9 |
| hex | cea3d20 |
216677664 has 144 divisors (see below), whose sum is σ = 734977152. Its totient is φ = 59203584.
The previous prime is 216677663. The next prime is 216677683. The reversal of 216677664 is 466776612.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (216677663) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 44032 + ... + 48704.
It is an arithmetic number, because the mean of its divisors is an integer number (5104008).
Almost surely, 2216677664 is an apocalyptic number.
216677664 is a gapful number since it is divisible by the number (24) 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 216677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367488576).
216677664 is an abundant number, since it is smaller than the sum of its proper divisors (518299488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216677664 is a wasteful number, since it uses less digits than its factorization.
216677664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4719 (or 4708 counting only the distinct ones).
The product of its digits is 508032, while the sum is 45.
The square root of 216677664 is about 14719.9749999788. The cubic root of 216677664 is about 600.6268116173.
It can be divided in two parts, 21 and 6677664, that added together give a triangular number (6677685 = T3654).
The spelling of 216677664 in words is "two hundred sixteen million, six hundred seventy-seven thousand, six hundred sixty-four".
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