224355040 has 192 divisors, whose sum is σ = 687536640. Its totient is φ = 67184640.

The previous prime is 224355007. The next prime is 224355077. The reversal of 224355040 is 40553422.

It is a junction number, because it is equal to n+sod(n) for n = 224354996 and 224355014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276235 + ... + 277045.

It is an arithmetic number, because the mean of its divisors is an integer number (3580920).

Almost surely, 2^224355040 is an apocalyptic number.

224355040 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 224355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343768320).

224355040 is an abundant number, since it is smaller than the sum of its proper divisors (463181600).

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

224355040 is a wasteful number, since it uses less digits than its factorization.

224355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 224355040 is about 14978.4859047902. The cubic root of 224355040 is about 607.6384912346.

The spelling of 224355040 in words is "two hundred twenty-four million, three hundred fifty-five thousand, forty".