224242641 has 32 divisors (see below), whose sum is σ = 384894720. Its totient is φ = 126375552.

The previous prime is 224242619. The next prime is 224242643. The reversal of 224242641 is 146242422.

It is not a de Polignac number, because 224242641 - 2⁹ = 224242129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224242643) 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, 5671 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (12027960).

Almost surely, 2^224242641 is an apocalyptic number.

224242641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224242641 is a deficient number, since it is larger than the sum of its proper divisors (160652079).

224242641 is a wasteful number, since it uses less digits than its factorization.

224242641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342 (or 16336 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 224242641 is about 14974.7334199978. The cubic root of 224242641 is about 607.5370012519.

The spelling of 224242641 in words is "two hundred twenty-four million, two hundred forty-two thousand, six hundred forty-one".