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214710 = 23517421
BaseRepresentation
bin110100011010110110
3101220112020
4310122312
523332320
64334010
71552656
oct643266
9356466
10214710
11137351
12a4306
1376962
1458366
1543940
hex346b6

214710 has 32 divisors (see below), whose sum is σ = 546912. Its totient is φ = 53760.

The previous prime is 214691. The next prime is 214723. The reversal of 214710 is 17412.

214710 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2147103 = 29694640410333000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214710.

It is a congruent number.

It is an unprimeable number.

214710 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 15 ways as a sum of consecutive naturals, for example, 300 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (17091).

2214710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273456).

214710 is an abundant number, since it is smaller than the sum of its proper divisors (332202).

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

214710 is a wasteful number, since it uses less digits than its factorization.

214710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

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

The square root of 214710 is about 463.3681042109. The cubic root of 214710 is about 59.8803169805.

The spelling of 214710 in words is "two hundred fourteen thousand, seven hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 421 510 842 1263 2105 2526 4210 6315 7157 12630 14314 21471 35785 42942 71570 107355 214710