224300640 has 48 divisors (see below), whose sum is σ = 706548528. Its totient is φ = 59813376.

The previous prime is 224300621. The next prime is 224300651. The reversal of 224300640 is 46003422.

224300640 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233167 + ... + 234126.

It is an arithmetic number, because the mean of its divisors is an integer number (14719761).

Almost surely, 2^224300640 is an apocalyptic number.

224300640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224300640 is an abundant number, since it is smaller than the sum of its proper divisors (482247888).

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

224300640 is a wasteful number, since it uses less digits than its factorization.

224300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467311 (or 467303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 224300640 is about 14976.6698568140. The cubic root of 224300640 is about 607.5893753244.

The spelling of 224300640 in words is "two hundred twenty-four million, three hundred thousand, six hundred forty".