224730 has 48 divisors (see below), whose sum is σ = 640224. Its totient is φ = 54240.

The previous prime is 224729. The next prime is 224737. The reversal of 224730 is 37422.

224730 = 210² + 211² + ... + 214².

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (224737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (13338).

2²²⁴⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112).

224730 is an abundant number, since it is smaller than the sum of its proper divisors (415494).

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

224730 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 224730 = (372240)₉.

224730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 224730 is about 474.0569586031. The cubic root of 224730 is about 60.7976814097.

The spelling of 224730 in words is "two hundred twenty-four thousand, seven hundred thirty".