224950880 has 288 divisors, whose sum is σ = 720679680. Its totient is φ = 64281600.

The previous prime is 224950829. The next prime is 224950889. The reversal of 224950880 is 88059422.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224950889) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7256465 + ... + 7256495.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2^224950880 is an apocalyptic number.

224950880 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 224950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360339840).

224950880 is an abundant number, since it is smaller than the sum of its proper divisors (495728800).

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

224950880 is a wasteful number, since it uses less digits than its factorization.

224950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 224950880 is about 14998.3625772949. The cubic root of 224950880 is about 608.1759359269.

The spelling of 224950880 in words is "two hundred twenty-four million, nine hundred fifty thousand, eight hundred eighty".