224262144 has 144 divisors (see below), whose sum is σ = 677149200. Its totient is φ = 71503872.

The previous prime is 224262139. The next prime is 224262161. The reversal of 224262144 is 441262422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224262144 is a `hidden beast` number, since 22 + 426 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9750517 + ... + 9750539.

It is an arithmetic number, because the mean of its divisors is an integer number (4702425).

Almost surely, 2^224262144 is an apocalyptic number.

224262144 is a gapful number since it is divisible by the number (24) 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 224262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338574600).

224262144 is an abundant number, since it is smaller than the sum of its proper divisors (452887056).

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

224262144 is an frugal number, since it uses more digits than its factorization.

224262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 224262144 is about 14975.3846027406. The cubic root of 224262144 is about 607.5546137966.

The spelling of 224262144 in words is "two hundred twenty-four million, two hundred sixty-two thousand, one hundred forty-four".