224769024 has 132 divisors (see below), whose sum is σ = 672193860. Its totient is φ = 72339456.

The previous prime is 224769007. The next prime is 224769029. The reversal of 224769024 is 420967422.

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.

224769024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 185831424 = 6240^2 + 13632^2 .

It is a super-2 number, since 2×224769024² = 101042228299825152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224769024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224769029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7750642 + ... + 7750670.

Almost surely, 2^224769024 is an apocalyptic number.

224769024 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 224769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336096930).

224769024 is an abundant number, since it is smaller than the sum of its proper divisors (447424836).

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

224769024 is an frugal number, since it uses more digits than its factorization.

224769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 224769024 is about 14992.2988230625. The cubic root of 224769024 is about 608.0120034565.

The spelling of 224769024 in words is "two hundred twenty-four million, seven hundred sixty-nine thousand, twenty-four".