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211134 = 23711457
BaseRepresentation
bin110011100010111110
3101201121210
4303202332
523224014
64305250
71536360
oct634276
9351553
10211134
111346a0
12a2226
1375141
1456d30
1542859
hex338be

211134 has 32 divisors (see below), whose sum is σ = 527616. Its totient is φ = 54720.

The previous prime is 211129. The next prime is 211151. The reversal of 211134 is 431112.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

211134 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 234 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (16488).

2211134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263808).

211134 is an abundant number, since it is smaller than the sum of its proper divisors (316482).

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

211134 is a wasteful number, since it uses less digits than its factorization.

211134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 24, while the sum is 12.

The square root of 211134 is about 459.4931990792. The cubic root of 211134 is about 59.5460181154.

Adding to 211134 its reverse (431112), we get a palindrome (642246).

It can be divided in two parts, 2111 and 34, that added together give a triangular number (2145 = T65).

The spelling of 211134 in words is "two hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 457 462 914 1371 2742 3199 5027 6398 9597 10054 15081 19194 30162 35189 70378 105567 211134