Search a number
-
+
8225532180 = 223455077489
BaseRepresentation
bin1111010100100011…
…11010100100010100
3210020020210022220000
413222101322210110
5113321214012210
63440113411300
7410556604245
oct75221724424
923206708800
108225532180
11354110a088
121716869b30
13a11199908
14580614ccc
153321e9ac0
hex1ea47a914

8225532180 has 60 divisors (see below), whose sum is σ = 25803804180. Its totient is φ = 2193474816.

The previous prime is 8225532163. The next prime is 8225532209. The reversal of 8225532180 is 812355228.

8225532180 is a `hidden beast` number, since 8 + 2 + 2 + 553 + 21 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3708079236 + 4517452944 = 60894^2 + 67212^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2537125 + ... + 2540364.

It is an arithmetic number, because the mean of its divisors is an integer number (430063403).

Almost surely, 28225532180 is an apocalyptic number.

It is an amenable number.

8225532180 is an abundant number, since it is smaller than the sum of its proper divisors (17578272000).

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

8225532180 is a wasteful number, since it uses less digits than its factorization.

8225532180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077510 (or 5077499 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8225532180 is about 90694.7196919424. The cubic root of 8225532180 is about 2018.6204497502.

The spelling of 8225532180 in words is "eight billion, two hundred twenty-five million, five hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 5077489 10154978 15232467 20309956 25387445 30464934 45697401 50774890 60929868 76162335 91394802 101549780 137092203 152324670 182789604 228487005 274184406 304649340 411276609 456974010 548368812 685461015 822553218 913948020 1370922030 1645106436 2056383045 2741844060 4112766090 8225532180