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214302 = 231117191
BaseRepresentation
bin110100010100011110
3101212222010
4310110132
523324202
64332050
71551534
oct642436
9355863
10214302
11137010
12a4026
137670a
1458154
154376c
hex3451e

214302 has 32 divisors (see below), whose sum is σ = 497664. Its totient is φ = 60800.

The previous prime is 214297. The next prime is 214309. The reversal of 214302 is 203412.

214302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2214302 is an apocalyptic number.

214302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832).

214302 is an abundant number, since it is smaller than the sum of its proper divisors (283362).

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

214302 is a wasteful number, since it uses less digits than its factorization.

214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 214302 is about 462.9276401340. The cubic root of 214302 is about 59.8423639886.

Adding to 214302 its reverse (203412), we get a palindrome (417714).

The spelling of 214302 in words is "two hundred fourteen thousand, three hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 191 374 382 561 573 1122 1146 2101 3247 4202 6303 6494 9741 12606 19482 35717 71434 107151 214302