Search a number
-
+
224604 = 223217367
BaseRepresentation
bin110110110101011100
3102102002200
4312311130
524141404
64451500
71623552
oct666534
9372080
10224604
11143826
12a9b90
137b303
145bbd2
1546839
hex36d5c

224604 has 36 divisors (see below), whose sum is σ = 602784. Its totient is φ = 70272.

The previous prime is 224603. The next prime is 224611. The reversal of 224604 is 406422.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (224603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (16744).

2224604 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 224604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392).

224604 is an abundant number, since it is smaller than the sum of its proper divisors (378180).

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

224604 is a wasteful number, since it uses less digits than its factorization.

224604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224604 is about 473.9240445472. The cubic root of 224604 is about 60.7863167499.

It can be divided in two parts, 224 and 604, that added together give a palindrome (828).

The spelling of 224604 in words is "two hundred twenty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 367 612 734 1101 1468 2202 3303 4404 6239 6606 12478 13212 18717 24956 37434 56151 74868 112302 224604