Search a number
-
+
216643300 = 225216313291
BaseRepresentation
bin11001110100110…
…11011011100100
3120002122121201221
430322123123210
5420430041200
633255230124
75240303056
oct1472333344
9502577657
10216643300
11101320355
1260678344
1335b63903
1420ab58d6
151404591a
hexce9b6e4

216643300 has 36 divisors (see below), whose sum is σ = 473035696. Its totient is φ = 86119200.

The previous prime is 216643289. The next prime is 216643307. The reversal of 216643300 is 3346612.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216643307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9655 + ... + 22945.

Almost surely, 2216643300 is an apocalyptic number.

216643300 is a gapful number since it is divisible by the number (20) 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 216643300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236517848).

216643300 is an abundant number, since it is smaller than the sum of its proper divisors (256392396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216643300 is a wasteful number, since it uses less digits than its factorization.

216643300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13468 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 216643300 is about 14718.8076962776. The cubic root of 216643300 is about 600.5950577967.

Adding to 216643300 its reverse (3346612), we get a palindrome (219989912).

It can be divided in two parts, 21664 and 3300, that added together give a square (24964 = 1582).

The spelling of 216643300 in words is "two hundred sixteen million, six hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 13291 16300 26582 53164 66455 132910 265820 332275 664550 1329100 2166433 4332866 8665732 10832165 21664330 43328660 54160825 108321650 216643300