Search a number
-
+
211900 = 225213163
BaseRepresentation
bin110011101110111100
3101202200011
4303232330
523240100
64313004
71541533
oct635674
9352604
10211900
11135227
12a2764
13755b0
145731a
1542bba
hex33bbc

211900 has 36 divisors (see below), whose sum is σ = 498232. Its totient is φ = 77760.

The previous prime is 211891. The next prime is 211927. The reversal of 211900 is 9112.

It can be divided in two parts, 211 and 900, that added together give a palindrome (1111).

It is a super-2 number, since 2×2119002 = 89803220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

211900 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, 1219 + ... + 1381.

2211900 is an apocalyptic number.

211900 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 211900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249116).

211900 is an abundant number, since it is smaller than the sum of its proper divisors (286332).

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

211900 is a wasteful number, since it uses less digits than its factorization.

211900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 211900 is about 460.3259714594. The cubic root of 211900 is about 59.6179427382.

The spelling of 211900 in words is "two hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 163 260 325 326 650 652 815 1300 1630 2119 3260 4075 4238 8150 8476 10595 16300 21190 42380 52975 105950 211900