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214170 = 23511259
BaseRepresentation
bin110100010010011010
3101212210020
4310102122
523323140
64331310
71551255
oct642232
9355706
10214170
11136a00
12a3b36
1376638
145809c
15436d0
hex3449a

214170 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 51040.

The previous prime is 214163. The next prime is 214177. The reversal of 214170 is 71412.

214170 is digitally balanced in base 3, 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 (214163) and next prime (214177).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214170.

It is not an unprimeable number, because it can be changed into a prime (214177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3601 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2214170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

214170 is an abundant number, since it is smaller than the sum of its proper divisors (360390).

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

214170 is a wasteful number, since it uses less digits than its factorization.

214170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 214170 is about 462.7850472952. The cubic root of 214170 is about 59.8300747668.

Adding to 214170 its sum of digits (15), we get a triangular number (214185 = T654).

Adding to 214170 its reverse (71412), we get a palindrome (285582).

It can be divided in two parts, 2141 and 70, that added together give a triangular number (2211 = T66).

The spelling of 214170 in words is "two hundred fourteen thousand, one hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 121 165 177 242 295 330 354 363 590 605 649 726 885 1210 1298 1770 1815 1947 3245 3630 3894 6490 7139 9735 14278 19470 21417 35695 42834 71390 107085 214170