224914641 has 32 divisors (see below), whose sum is σ = 374611968. Its totient is φ = 117054720.

The previous prime is 224914621. The next prime is 224914661. The reversal of 224914641 is 146419422.

It is an interprime number because it is at equal distance from previous prime (224914621) and next prime (224914661).

It is not a de Polignac number, because 224914641 - 2⁷ = 224914513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224914621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (11706624).

Almost surely, 2^224914641 is an apocalyptic number.

224914641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224914641 is a deficient number, since it is larger than the sum of its proper divisors (149697327).

224914641 is a wasteful number, since it uses less digits than its factorization.

224914641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20381.

The product of its digits is 13824, while the sum is 33.

The square root of 224914641 is about 14997.1544300911. The cubic root of 224914641 is about 608.1432756541.

The spelling of 224914641 in words is "two hundred twenty-four million, nine hundred fourteen thousand, six hundred forty-one".