224967232 has 84 divisors (see below), whose sum is σ = 542056320. Its totient is φ = 92193024.

The previous prime is 224967187. The next prime is 224967233. The reversal of 224967232 is 232769422.

It is a super-2 number, since 2×224967232² = 101220510947483648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224967191 and 224967200.

It is not an unprimeable number, because it can be changed into a prime (224967233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70569 + ... + 73687.

Almost surely, 2^224967232 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 224967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

224967232 is an abundant number, since it is smaller than the sum of its proper divisors (317089088).

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

224967232 is a wasteful number, since it uses less digits than its factorization.

224967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3151 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 224967232 is about 14998.9076935622. The cubic root of 224967232 is about 608.1906719617.

The spelling of 224967232 in words is "two hundred twenty-four million, nine hundred sixty-seven thousand, two hundred thirty-two".