224605920 has 384 divisors, whose sum is σ = 905748480. Its totient is φ = 45434880.

The previous prime is 224605907. The next prime is 224605939. The reversal of 224605920 is 29506422.

224605920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180589 + ... + 2180691.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^224605920 is an apocalyptic number.

224605920 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 224605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

224605920 is an abundant number, since it is smaller than the sum of its proper divisors (681142560).

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

224605920 is a wasteful number, since it uses less digits than its factorization.

224605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 224605920 is about 14986.8582431409. The cubic root of 224605920 is about 607.8648995760.

The spelling of 224605920 in words is "two hundred twenty-four million, six hundred five thousand, nine hundred twenty".