224967680 has 88 divisors (see below), whose sum is σ = 616851168. Its totient is φ = 77119488.

The previous prime is 224967679. The next prime is 224967683. The reversal of 224967680 is 86769422.

It is a super-2 number, since 2×224967680² = 101220914089164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224967683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32702 + ... + 38978.

Almost surely, 2^224967680 is an apocalyptic number.

224967680 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 224967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308425584).

224967680 is an abundant number, since it is smaller than the sum of its proper divisors (391883488).

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

224967680 is an equidigital number, since it uses as much as digits as its factorization.

224967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 224967680 is about 14998.9226279757. The cubic root of 224967680 is about 608.1910756786.

The spelling of 224967680 in words is "two hundred twenty-four million, nine hundred sixty-seven thousand, six hundred eighty".