224057160 has 96 divisors (see below), whose sum is σ = 733898880. Its totient is φ = 59280000.

The previous prime is 224057147. The next prime is 224057167. The reversal of 224057160 is 61750422.

It is a super-2 number, since 2×224057160² = 100403221894531200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224057167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44785 + ... + 49535.

It is an arithmetic number, because the mean of its divisors is an integer number (7644780).

Almost surely, 2^224057160 is an apocalyptic number.

224057160 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 224057160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366949440).

224057160 is an abundant number, since it is smaller than the sum of its proper divisors (509841720).

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

224057160 is a wasteful number, since it uses less digits than its factorization.

224057160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 224057160 is about 14968.5390068637. The cubic root of 224057160 is about 607.3694481441.

The spelling of 224057160 in words is "two hundred twenty-four million, fifty-seven thousand, one hundred sixty".