224235040 has 48 divisors (see below), whose sum is σ = 537243840. Its totient is φ = 88426240.

The previous prime is 224235031. The next prime is 224235061. The reversal of 224235040 is 40532422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491 + ... + 21229.

It is an arithmetic number, because the mean of its divisors is an integer number (11192580).

Almost surely, 2^224235040 is an apocalyptic number.

224235040 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 224235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621920).

224235040 is an abundant number, since it is smaller than the sum of its proper divisors (313008800).

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

224235040 is a wasteful number, since it uses less digits than its factorization.

224235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825 (or 19817 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 224235040 is about 14974.4796236797. The cubic root of 224235040 is about 607.5301367517.

Adding to 224235040 its reverse (40532422), we get a palindrome (264767462).

The spelling of 224235040 in words is "two hundred twenty-four million, two hundred thirty-five thousand, forty".