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422180 = 2251119101
BaseRepresentation
bin1100111000100100100
3210110010022
41213010210
5102002210
613014312
73405563
oct1470444
9713108
10422180
11269210
12184398
1311a215
14adbda
1585155
hex67124

422180 has 48 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 144000.

The previous prime is 422141. The next prime is 422183. The reversal of 422180 is 81224.

422180 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (422183) 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, 4130 + ... + 4230.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2422180 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 422180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

422180 is an abundant number, since it is smaller than the sum of its proper divisors (605980).

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

422180 is a wasteful number, since it uses less digits than its factorization.

422180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 422180 is about 649.7537995272. The cubic root of 422180 is about 75.0180697202.

It can be divided in two parts, 42 and 2180, that added together give a palindrome (2222).

The spelling of 422180 in words is "four hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 380 404 418 505 836 1010 1045 1111 1919 2020 2090 2222 3838 4180 4444 5555 7676 9595 11110 19190 21109 22220 38380 42218 84436 105545 211090 422180