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211014 = 23219617
BaseRepresentation
bin110011100001000110
3101201110100
4303201012
523223024
64304530
71536126
oct634106
9351410
10211014
111345a1
12a2146
137507b
1456c86
15427c9
hex33846

211014 has 24 divisors (see below), whose sum is σ = 482040. Its totient is φ = 66528.

The previous prime is 211007. The next prime is 211039. The reversal of 211014 is 410112.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210987 and 211005.

It is a congruent number.

It is an unprimeable number.

211014 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, 34 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (20085).

2211014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241020).

211014 is an abundant number, since it is smaller than the sum of its proper divisors (271026).

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

211014 is a wasteful number, since it uses less digits than its factorization.

211014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

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

The square root of 211014 is about 459.3626018735. The cubic root of 211014 is about 59.5347347971.

Adding to 211014 its reverse (410112), we get a palindrome (621126).

It can be divided in two parts, 21 and 1014, that added together give a triangular number (1035 = T45).

The spelling of 211014 in words is "two hundred eleven thousand, fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 617 1234 1851 3702 5553 11106 11723 23446 35169 70338 105507 211014