224657920 has 80 divisors (see below), whose sum is σ = 543679488. Its totient is φ = 89026560.

The previous prime is 224657897. The next prime is 224657947. The reversal of 224657920 is 29756422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 224657920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324775 + ... + 325465.

Almost surely, 2^224657920 is an apocalyptic number.

224657920 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 224657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271839744).

224657920 is an abundant number, since it is smaller than the sum of its proper divisors (319021568).

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

224657920 is an equidigital number, since it uses as much as digits as its factorization.

224657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 224657920 is about 14988.5929960087. The cubic root of 224657920 is about 607.9118062289.

The spelling of 224657920 in words is "two hundred twenty-four million, six hundred fifty-seven thousand, nine hundred twenty".