224948000 has 48 divisors (see below), whose sum is σ = 552707064. Its totient is φ = 89977600.

The previous prime is 224947993. The next prime is 224948023. The reversal of 224948000 is 849422.

It can be written as a sum of positive squares in 4 ways, for example, as 70492816 + 154455184 = 8396^2 + 12428^2 .

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, 24119 + ... + 32118.

Almost surely, 2^224948000 is an apocalyptic number.

224948000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224948000 is an abundant number, since it is smaller than the sum of its proper divisors (327759064).

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

224948000 is an equidigital number, since it uses as much as digits as its factorization.

224948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56262 (or 56244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 224948000 is about 14998.2665665069. The cubic root of 224948000 is about 608.1733404652.

The spelling of 224948000 in words is "two hundred twenty-four million, nine hundred forty-eight thousand".