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20214 = 2321123
BaseRepresentation
bin100111011110110
31000201200
410323312
51121324
6233330
7112635
oct47366
930650
1020214
1114207
12b846
13927c
14751c
155ec9
hex4ef6

20214 has 12 divisors (see below), whose sum is σ = 43836. Its totient is φ = 6732.

The previous prime is 20201. The next prime is 20219. The reversal of 20214 is 41202.

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 = 20196 and 20205.

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 20214.

It is not an unprimeable number, because it can be changed into a prime (20219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 544 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (3653).

220214 is an apocalyptic number.

20214 is an abundant number, since it is smaller than the sum of its proper divisors (23622).

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

20214 is a wasteful number, since it uses less digits than its factorization.

20214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20214 is about 142.1759473329. The cubic root of 20214 is about 27.2406471283.

Adding to 20214 its reverse (41202), we get a palindrome (61416).

It can be divided in two parts, 2021 and 4, that added together give a square (2025 = 452).

The spelling of 20214 in words is "twenty thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 1123 2246 3369 6738 10107 20214