Search a number
-
+
122220 = 22325797
BaseRepresentation
bin11101110101101100
320012122200
4131311230
512402340
62341500
71016220
oct356554
9205580
10122220
118390a
125a890
1343827
1432780
1526330
hex1dd6c

122220 has 72 divisors (see below), whose sum is σ = 428064. Its totient is φ = 27648.

The previous prime is 122219. The next prime is 122231. The reversal of 122220 is 22221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212 + ... + 1308.

2122220 is an apocalyptic number.

122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214032).

122220 is an abundant number, since it is smaller than the sum of its proper divisors (305844).

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

122220 is a wasteful number, since it uses less digits than its factorization.

122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122220 is about 349.5997711670. The cubic root of 122220 is about 49.6265509945.

Adding to 122220 its reverse (22221), we get a palindrome (144441).

Subtracting from 122220 its reverse (22221), we obtain a palindrome (99999).

The spelling of 122220 in words is "one hundred twenty-two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 17460 20370 24444 30555 40740 61110 122220