224805240 has 256 divisors, whose sum is σ = 829440000. Its totient is φ = 53706240.

The previous prime is 224805227. The next prime is 224805271. The reversal of 224805240 is 42508422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1508686 + ... + 1508834.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^224805240 is an apocalyptic number.

224805240 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 224805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720000).

224805240 is an abundant number, since it is smaller than the sum of its proper divisors (604634760).

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

224805240 is a wasteful number, since it uses less digits than its factorization.

224805240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 224805240 is about 14993.5065945228. The cubic root of 224805240 is about 608.0446570962.

The spelling of 224805240 in words is "two hundred twenty-four million, eight hundred five thousand, two hundred forty".