224136 has 48 divisors (see below), whose sum is σ = 664560. Its totient is φ = 67680.

The previous prime is 224131. The next prime is 224149. The reversal of 224136 is 631422.

It is a happy number.

224136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (224131) by changing a digit.

224136 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, 651 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (13845).

2²²⁴¹³⁶ 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 224136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332280).

224136 is an abundant number, since it is smaller than the sum of its proper divisors (440424).

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

224136 is a wasteful number, since it uses less digits than its factorization.

224136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

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

The square root of 224136 is about 473.4300370699. The cubic root of 224136 is about 60.7440679063.

Adding to 224136 its reverse (631422), we get a palindrome (855558).

The spelling of 224136 in words is "two hundred twenty-four thousand, one hundred thirty-six".