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214136 = 23132971
BaseRepresentation
bin110100010001111000
3101212201222
4310101320
523323021
64331212
71551206
oct642170
9355658
10214136
1113697a
12a3b08
1376610
1458076
15436ab
hex34478

214136 has 32 divisors (see below), whose sum is σ = 453600. Its totient is φ = 94080.

The previous prime is 214133. The next prime is 214141. The reversal of 214136 is 631412.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

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 214136.

It is not an unprimeable number, because it can be changed into a prime (214133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2214136 is an apocalyptic number.

214136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

214136 is an abundant number, since it is smaller than the sum of its proper divisors (239464).

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

214136 is a wasteful number, since it uses less digits than its factorization.

214136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 214136 is about 462.7483117203. The cubic root of 214136 is about 59.8269085434.

Adding to 214136 its reverse (631412), we get a palindrome (845548).

The spelling of 214136 in words is "two hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 29 52 58 71 104 116 142 232 284 377 568 754 923 1508 1846 2059 3016 3692 4118 7384 8236 16472 26767 53534 107068 214136