Search a number
-
+
211122 = 23237317
BaseRepresentation
bin110011100010110010
3101201121100
4303202302
523223442
64305230
71536342
oct634262
9351540
10211122
1113468a
12a2216
1375132
1456d22
154284c
hex338b2

211122 has 24 divisors (see below), whose sum is σ = 471276. Its totient is φ = 68256.

The previous prime is 211097. The next prime is 211129. The reversal of 211122 is 221112.

Adding to 211122 its reverse (221112), we get a palindrome (432234).

It can be divided in two parts, 21112 and 2, that multiplied together give a palindrome (42224).

211122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 210681 + 441 = 459^2 + 21^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (211129) by changing a digit.

211122 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, 508 + ... + 824.

2211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235638).

211122 is an abundant number, since it is smaller than the sum of its proper divisors (260154).

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

211122 is a wasteful number, since it uses less digits than its factorization.

211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 211122 is about 459.4801410290. The cubic root of 211122 is about 59.5448899760.

The spelling of 211122 in words is "two hundred eleven thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 317 333 634 666 951 1902 2853 5706 11729 23458 35187 70374 105561 211122