Search a number
-
+
8065422216 = 2332477133569
BaseRepresentation
bin1111000001011110…
…01001001110001000
3202211002111220022100
413200233021032020
5113004222002331
63412153553400
7403603646325
oct74057111610
922732456270
108065422216
1134697a20a5
121691115860
139b6c6b0a7
14567257b4c
1532311eae6
hex1e0bc9388

8065422216 has 96 divisors (see below), whose sum is σ = 22623494400. Its totient is φ = 2594135040.

The previous prime is 8065422199. The next prime is 8065422223. The reversal of 8065422216 is 6122245608.

It is a happy number.

8065422216 is a `hidden beast` number, since 80 + 6 + 542 + 22 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223480 + ... + 257048.

It is an arithmetic number, because the mean of its divisors is an integer number (235661400).

Almost surely, 28065422216 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 8065422216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311747200).

8065422216 is an abundant number, since it is smaller than the sum of its proper divisors (14558072184).

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

8065422216 is a wasteful number, since it uses less digits than its factorization.

8065422216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33699 (or 33692 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8065422216 is about 89807.6957504200. The cubic root of 8065422216 is about 2005.4370571441.

The spelling of 8065422216 in words is "eight billion, sixty-five million, four hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 71 72 94 141 142 188 213 282 284 376 423 426 564 568 639 846 852 1128 1278 1692 1704 2556 3337 3384 5112 6674 10011 13348 20022 26696 30033 33569 40044 60066 67138 80088 100707 120132 134276 201414 240264 268552 302121 402828 604242 805656 1208484 1577743 2383399 2416968 3155486 4733229 4766798 6310972 7150197 9466458 9533596 12621944 14199687 14300394 18932916 19067192 21450591 28399374 28600788 37865832 42901182 56798748 57201576 85802364 112019753 113597496 171604728 224039506 336059259 448079012 672118518 896158024 1008177777 1344237036 2016355554 2688474072 4032711108 8065422216