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81682212 = 223172913807
BaseRepresentation
bin1001101111001…
…01111100100100
312200200212221010
410313211330210
5131402312322
612034422220
72011200363
oct467457444
9180625833
1081682212
1142120067
1223431970
1313bcbc91
14abc37da
15728720c
hex4de5f24

81682212 has 48 divisors (see below), whose sum is σ = 208776960. Its totient is φ = 24740352.

The previous prime is 81682201. The next prime is 81682217. The reversal of 81682212 is 21228618.

It is a self number, because there is not a number n which added to its sum of digits gives 81682212.

It is not an unprimeable number, because it can be changed into a prime (81682217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (4349520).

Almost surely, 281682212 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 81682212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104388480).

81682212 is an abundant number, since it is smaller than the sum of its proper divisors (127094748).

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

81682212 is a wasteful number, since it uses less digits than its factorization.

81682212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13858 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 81682212 is about 9037.8211976117. The cubic root of 81682212 is about 433.8861927022.

It can be divided in two parts, 816 and 82212, that added together give a triangular number (83028 = T407).

The spelling of 81682212 in words is "eighty-one million, six hundred eighty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 13807 27614 41421 55228 82842 165684 234719 400403 469438 704157 800806 938876 1201209 1408314 1601612 2402418 2816628 4804836 6806851 13613702 20420553 27227404 40841106 81682212