Search a number
-
+
6682224 = 2431719431
BaseRepresentation
bin11001011111011001110000
3110120111021210
4121133121300
53202312344
6355120120
7110540463
oct31373160
913514253
106682224
1138544aa
1222a3040
1314cc6a3
14c5d2da
158bedb9
hex65f670

6682224 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1981440.

The previous prime is 6682223. The next prime is 6682231. The reversal of 6682224 is 4222866.

It is a Cunningham number, because it is equal to 25852-1.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6682191 and 6682200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6682223) 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 15 ways as a sum of consecutive naturals, for example, 15289 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 26682224 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 6682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

6682224 is an abundant number, since it is smaller than the sum of its proper divisors (12602256).

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

6682224 is a wasteful number, since it uses less digits than its factorization.

6682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 6682224 is about 2584.9998065764. Note that the first 3 decimals coincide. The cubic root of 6682224 is about 188.3534921556.

The spelling of 6682224 in words is "six million, six hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 431 456 646 816 862 912 969 1292 1293 1724 1938 2584 2586 3448 3876 5168 5172 6896 7327 7752 8189 10344 14654 15504 16378 20688 21981 24567 29308 32756 43962 49134 58616 65512 87924 98268 117232 131024 139213 175848 196536 278426 351696 393072 417639 556852 835278 1113704 1670556 2227408 3341112 6682224