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214236 = 223211541
BaseRepresentation
bin110100010011011100
3101212212200
4310103130
523323421
64331500
71551411
oct642334
9355780
10214236
11136a60
12a3b90
1376689
1458108
1543726
hex344dc

214236 has 36 divisors (see below), whose sum is σ = 591864. Its totient is φ = 64800.

The previous prime is 214219. The next prime is 214237. The reversal of 214236 is 632412.

It is a happy number.

214236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 23 + 1 + 215 + 46 + 311 + 63 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214237) by changing a digit.

214236 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 11 ways as a sum of consecutive naturals, for example, 126 + ... + 666.

2214236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295932).

214236 is an abundant number, since it is smaller than the sum of its proper divisors (377628).

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

214236 is a wasteful number, since it uses less digits than its factorization.

214236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 214236 is about 462.8563492057. The cubic root of 214236 is about 59.8362200087.

Adding to 214236 its reverse (632412), we get a palindrome (846648).

The spelling of 214236 in words is "two hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 541 1082 1623 2164 3246 4869 5951 6492 9738 11902 17853 19476 23804 35706 53559 71412 107118 214236