224940 has 48 divisors (see below), whose sum is σ = 661248. Its totient is φ = 57024.

The previous prime is 224929. The next prime is 224947. The reversal of 224940 is 49422.

224940 = T₇₅ + T₇₆ + ... + T₁₂₀.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (224947) 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 15 ways as a sum of consecutive naturals, for example, 1299 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2²²⁴⁹⁴⁰ is an apocalyptic number.

224940 is a gapful number since it is divisible by the number (20) 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 224940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330624).

224940 is an abundant number, since it is smaller than the sum of its proper divisors (436308).

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

224940 is a wasteful number, since it uses less digits than its factorization.

224940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 224940 is about 474.2783992551. The cubic root of 224940 is about 60.8166130733.

It can be divided in two parts, 2 and 24940, that added together give a palindrome (24942).

The spelling of 224940 in words is "two hundred twenty-four thousand, nine hundred forty".