224210640 has 80 divisors (see below), whose sum is σ = 731649600. Its totient is φ = 56641536.

The previous prime is 224210627. The next prime is 224210663. The reversal of 224210640 is 46012422.

224210640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224210640² = 100540822178419200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20025 + ... + 29144.

It is an arithmetic number, because the mean of its divisors is an integer number (9145620).

Almost surely, 2^224210640 is an apocalyptic number.

224210640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224210640 is an abundant number, since it is smaller than the sum of its proper divisors (507438960).

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

224210640 is a wasteful number, since it uses less digits than its factorization.

224210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49204 (or 49198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224210640 is about 14973.6648820521. The cubic root of 224210640 is about 607.5080999445.

The spelling of 224210640 in words is "two hundred twenty-four million, two hundred ten thousand, six hundred forty".