224924964 has 144 divisors (see below), whose sum is σ = 629207040. Its totient is φ = 62251200.

The previous prime is 224924941. The next prime is 224924971. The reversal of 224924964 is 469429422.

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 47 ways as a sum of consecutive naturals, for example, 855097 + ... + 855359.

Almost surely, 2^224924964 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 224924964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314603520).

224924964 is an abundant number, since it is smaller than the sum of its proper divisors (404282076).

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

224924964 is a wasteful number, since it uses less digits than its factorization.

224924964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 224924964 is about 14997.4985914318. The cubic root of 224924964 is about 608.1525795793.

The spelling of 224924964 in words is "two hundred twenty-four million, nine hundred twenty-four thousand, nine hundred sixty-four".