224462080 has 36 divisors (see below), whose sum is σ = 537659892. Its totient is φ = 89784320.

The previous prime is 224462039. The next prime is 224462087. The reversal of 224462080 is 80264422.

224462080 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 153363456 + 71098624 = 12384^2 + 8432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224462087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86401 + ... + 88960.

It is an arithmetic number, because the mean of its divisors is an integer number (14934997).

Almost surely, 2^224462080 is an apocalyptic number.

224462080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224462080 is an abundant number, since it is smaller than the sum of its proper divisors (313197812).

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

224462080 is an equidigital number, since it uses as much as digits as its factorization.

224462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175382 (or 175368 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 224462080 is about 14982.0586035431. The cubic root of 224462080 is about 607.7351108352.

The spelling of 224462080 in words is "two hundred twenty-four million, four hundred sixty-two thousand, eighty".