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214110 = 23351361
BaseRepresentation
bin110100010001011110
3101212201000
4310101132
523322420
64331130
71551141
oct642136
9355630
10214110
11136956
12a3aa6
13765c0
1458058
1543690
hex3445e

214110 has 64 divisors (see below), whose sum is σ = 624960. Its totient is φ = 51840.

The previous prime is 214091. The next prime is 214129. The reversal of 214110 is 11412.

It is a happy number.

214110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214091) and next prime (214129).

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

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 214092 and 214101.

It is a congruent number.

It is an unprimeable number.

214110 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 31 ways as a sum of consecutive naturals, for example, 3480 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2214110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

214110 is an abundant number, since it is smaller than the sum of its proper divisors (410850).

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

214110 is a wasteful number, since it uses less digits than its factorization.

214110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

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

The square root of 214110 is about 462.7202178423. The cubic root of 214110 is about 59.8244870876.

Adding to 214110 its reverse (11412), we get a palindrome (225522).

It can be divided in two parts, 214 and 110, that added together give a square (324 = 182).

The spelling of 214110 in words is "two hundred fourteen thousand, one hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 90 117 122 130 135 183 195 234 270 305 351 366 390 549 585 610 702 793 915 1098 1170 1586 1647 1755 1830 2379 2745 3294 3510 3965 4758 5490 7137 7930 8235 11895 14274 16470 21411 23790 35685 42822 71370 107055 214110