224745920 has 56 divisors (see below), whose sum is σ = 611636064. Its totient is φ = 77054976.

The previous prime is 224745893. The next prime is 224745923. The reversal of 224745920 is 29547422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224745923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47927 + ... + 52406.

Almost surely, 2^224745920 is an apocalyptic number.

224745920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224745920 is an abundant number, since it is smaller than the sum of its proper divisors (386890144).

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

224745920 is a wasteful number, since it uses less digits than its factorization.

224745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100357 (or 100347 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 224745920 is about 14991.5282743288. The cubic root of 224745920 is about 607.9911702319.

The spelling of 224745920 in words is "two hundred twenty-four million, seven hundred forty-five thousand, nine hundred twenty".