Search a number
-
+
822161106 = 23213173159113
BaseRepresentation
bin110001000000010…
…010111011010010
32010022001010000100
4301000102323102
53140433123411
6213325433230
726242153104
oct6100227322
92108033010
10822161106
113920a7898
121ab40b816
13101441b80
147b297574
154c2a3456
hex31012ed2

822161106 has 192 divisors, whose sum is σ = 2151152640. Its totient is φ = 224501760.

The previous prime is 822161063. The next prime is 822161147. The reversal of 822161106 is 601161228.

It is a self number, because there is not a number n which added to its sum of digits gives 822161106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7275706 + ... + 7275818.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2822161106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822161106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

822161106 is an abundant number, since it is smaller than the sum of its proper divisors (1328991534).

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

822161106 is a wasteful number, since it uses less digits than its factorization.

822161106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 822161106 is about 28673.3518445263. The cubic root of 822161106 is about 936.8117068464.

The spelling of 822161106 in words is "eight hundred twenty-two million, one hundred sixty-one thousand, one hundred six".