Search a number
-
+
8220192 = 25385627
BaseRepresentation
bin11111010110111000100000
3120110121222120
4133112320200
54101021232
6452104240
7126604401
oct37267040
916417876
108220192
114704a52
122905080
13191a726
14113d9a8
15ac592c
hex7d6e20

8220192 has 24 divisors (see below), whose sum is σ = 21578256. Its totient is φ = 2740032.

The previous prime is 8220169. The next prime is 8220193. The reversal of 8220192 is 2910228.

8220192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8220193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42718 + ... + 42909.

It is an arithmetic number, because the mean of its divisors is an integer number (899094).

Almost surely, 28220192 is an apocalyptic number.

It is an amenable number.

8220192 is an abundant number, since it is smaller than the sum of its proper divisors (13358064).

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

8220192 is a wasteful number, since it uses less digits than its factorization.

8220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85640 (or 85632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8220192 is about 2867.0877210159. The cubic root of 8220192 is about 201.8183512258.

The spelling of 8220192 in words is "eight million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 85627 171254 256881 342508 513762 685016 1027524 1370032 2055048 2740064 4110096 8220192