Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
220100 = 22523171
BaseRepresentation
bin110101101111000100
3102011220212
4311233010
524020400
64414552
71604456
oct655704
9364825
10220100
11140401
12a7458
137924a
145a2d6
1545335
hex35bc4

220100 has 36 divisors (see below), whose sum is σ = 499968. Its totient is φ = 84000.

The previous prime is 220063. The next prime is 220123. The reversal of 220100 is 1022.

220100 = T120 + T121 + ... + T144.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

220100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3065 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2220100 is an apocalyptic number.

220100 is a gapful number since it is divisible by the number (20) 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 220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

220100 is an abundant number, since it is smaller than the sum of its proper divisors (279868).

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

220100 is a wasteful number, since it uses less digits than its factorization.

220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 220100 is about 469.1481642296. The cubic root of 220100 is about 60.3772526654.

Adding to 220100 its reverse (1022), we get a palindrome (221122).

It can be divided in two parts, 2 and 20100, that added together give a palindrome (20102).

The spelling of 220100 in words is "two hundred twenty thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 142 155 284 310 355 620 710 775 1420 1550 1775 2201 3100 3550 4402 7100 8804 11005 22010 44020 55025 110050 220100