Search a number
-
+
8223073632 = 253282334693
BaseRepresentation
bin1111010100010001…
…00010010101100000
3210020002011102101200
413222020202111200
5113320101324012
63435545001200
7410526654414
oct75210422540
923202142350
108223073632
11353a78aa24
121715a83200
13a10818857
14580174d44
15331db13dc
hex1ea222560

8223073632 has 72 divisors (see below), whose sum is σ = 23413454064. Its totient is φ = 2737615104.

The previous prime is 8223073601. The next prime is 8223073657. The reversal of 8223073632 is 2363703228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 219678 + ... + 254370.

It is an arithmetic number, because the mean of its divisors is an integer number (325186862).

Almost surely, 28223073632 is an apocalyptic number.

It is an amenable number.

8223073632 is an abundant number, since it is smaller than the sum of its proper divisors (15190380432).

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

8223073632 is a wasteful number, since it uses less digits than its factorization.

8223073632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35532 (or 35521 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 8223073632 is about 90681.1647035921. The cubic root of 8223073632 is about 2018.4193130255.

The spelling of 8223073632 in words is "eight billion, two hundred twenty-three million, seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 823 1646 2469 3292 4938 6584 7407 9876 13168 14814 19752 26336 29628 34693 39504 59256 69386 79008 104079 118512 138772 208158 237024 277544 312237 416316 555088 624474 832632 1110176 1248948 1665264 2497896 3330528 4995792 9991584 28552339 57104678 85657017 114209356 171314034 228418712 256971051 342628068 456837424 513942102 685256136 913674848 1027884204 1370512272 2055768408 2741024544 4111536816 8223073632