224793648 has 120 divisors (see below), whose sum is σ = 667445376. Its totient is φ = 70502400.

The previous prime is 224793607. The next prime is 224793661. The reversal of 224793648 is 846397422.

It is a super-2 number, since 2×224793648² = 101064368362295808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164488 + ... + 165848.

Almost surely, 2^224793648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333722688).

224793648 is an abundant number, since it is smaller than the sum of its proper divisors (442651728).

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

224793648 is a wasteful number, since it uses less digits than its factorization.

224793648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1434 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 224793648 is about 14993.1200221968. The cubic root of 224793648 is about 608.0342057164.

The spelling of 224793648 in words is "two hundred twenty-four million, seven hundred ninety-three thousand, six hundred forty-eight".