Search a number
-
+
8422180 = 22513291117
BaseRepresentation
bin100000001000…
…001100100100
3120211220001121
4200020030210
54124002210
6500303324
7131405314
oct40101444
916756047
108422180
114832788
1229a1b44
13198b650
141193444
15b156da
hex808324

8422180 has 48 divisors (see below), whose sum is σ = 19721520. Its totient is φ = 2999808.

The previous prime is 8422153. The next prime is 8422181. The reversal of 8422180 is 812248.

8422180 = T81 + T82 + ... + T370.

It can be written as a sum of positive squares in 8 ways, for example, as 2232036 + 6190144 = 1494^2 + 2488^2 .

It is not an unprimeable number, because it can be changed into a prime (8422181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6982 + ... + 8098.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 28422180 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 8422180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860760).

8422180 is an abundant number, since it is smaller than the sum of its proper divisors (11299340).

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

8422180 is a wasteful number, since it uses less digits than its factorization.

8422180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8422180 is about 2902.0992402053. The cubic root of 8422180 is about 203.4580321427.

The spelling of 8422180 in words is "eight million, four hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1117 1508 1885 2234 3770 4468 5585 7540 11170 14521 22340 29042 32393 58084 64786 72605 129572 145210 161965 290420 323930 421109 647860 842218 1684436 2105545 4211090 8422180