Search a number
-
+
85318224 = 24323109709
BaseRepresentation
bin1010001010111…
…01101001010000
312221112121121020
411011131221100
5133320140344
612244355440
72054123115
oct505355120
9187477536
1085318224
1144183932
12246a5b80
13148a2c74
14b48c90c
157754719
hex515da50

85318224 has 80 divisors (see below), whose sum is σ = 232425600. Its totient is φ = 26915328.

The previous prime is 85318213. The next prime is 85318241. The reversal of 85318224 is 42281358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119982 + ... + 120690.

It is an arithmetic number, because the mean of its divisors is an integer number (2905320).

Almost surely, 285318224 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 85318224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212800).

85318224 is an abundant number, since it is smaller than the sum of its proper divisors (147107376).

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

85318224 is a wasteful number, since it uses less digits than its factorization.

85318224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 85318224 is about 9236.7864541733. The cubic root of 85318224 is about 440.2309806525.

The spelling of 85318224 in words is "eighty-five million, three hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 184 218 276 327 368 436 552 654 709 872 1104 1308 1418 1744 2127 2507 2616 2836 4254 5014 5232 5672 7521 8508 10028 11344 15042 16307 17016 20056 30084 32614 34032 40112 48921 60168 65228 77281 97842 120336 130456 154562 195684 231843 260912 309124 391368 463686 618248 782736 927372 1236496 1777463 1854744 3554926 3709488 5332389 7109852 10664778 14219704 21329556 28439408 42659112 85318224