224755040 has 48 divisors (see below), whose sum is σ = 532980000. Its totient is φ = 89564160.

The previous prime is 224755031. The next prime is 224755043. The reversal of 224755040 is 40557422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224754994 and 224755012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224755043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42461 + ... + 47459.

It is an arithmetic number, because the mean of its divisors is an integer number (11103750).

Almost surely, 2^224755040 is an apocalyptic number.

224755040 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 224755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266490000).

224755040 is an abundant number, since it is smaller than the sum of its proper divisors (308224960).

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

224755040 is a wasteful number, since it uses less digits than its factorization.

224755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 224755040 is about 14991.8324430338. The cubic root of 224755040 is about 607.9993940437. Note that the first 3 decimals are identical.

It can be divided in two parts, 22 and 4755040, that multiplied together give a triangular number (104610880 = T₁₄₄₆₄).

The spelling of 224755040 in words is "two hundred twenty-four million, seven hundred fifty-five thousand, forty".