224218640 has 40 divisors (see below), whose sum is σ = 526388928. Its totient is φ = 88813440.

The previous prime is 224218609. The next prime is 224218667. The reversal of 224218640 is 46812422.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 5366 + ... + 21845.

Almost surely, 2^224218640 is an apocalyptic number.

224218640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224218640 is an abundant number, since it is smaller than the sum of its proper divisors (302170288).

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

224218640 is a wasteful number, since it uses less digits than its factorization.

224218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27327 (or 27321 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 224218640 is about 14973.9320153392. The cubic root of 224218640 is about 607.5153253034.

The spelling of 224218640 in words is "two hundred twenty-four million, two hundred eighteen thousand, six hundred forty".