224953680 has 160 divisors (see below), whose sum is σ = 801448704. Its totient is φ = 51130368.

The previous prime is 224953679. The next prime is 224953717. The reversal of 224953680 is 86359422.

It is a happy number.

224953680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 492012 + ... + 492468.

Almost surely, 2^224953680 is an apocalyptic number.

224953680 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 224953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400724352).

224953680 is an abundant number, since it is smaller than the sum of its proper divisors (576495024).

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

224953680 is a wasteful number, since it uses less digits than its factorization.

224953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 224953680 is about 14998.4559205273. The cubic root of 224953680 is about 608.1784592712.

The spelling of 224953680 in words is "two hundred twenty-four million, nine hundred fifty-three thousand, six hundred eighty".