224258247 has 32 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 139678560.

The previous prime is 224258239. The next prime is 224258249. The reversal of 224258247 is 742852422.

It is not a de Polignac number, because 224258247 - 2³ = 224258239 is a prime.

It is a super-2 number, since 2×224258247² = 100583522695026018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224258249) 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, 19654 + ... + 28892.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2^224258247 is an apocalyptic number.

224258247 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

224258247 is a deficient number, since it is larger than the sum of its proper divisors (130557753).

224258247 is a wasteful number, since it uses less digits than its factorization.

224258247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9302 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 224258247 is about 14975.2544886556. The cubic root of 224258247 is about 607.5510946203.

The spelling of 224258247 in words is "two hundred twenty-four million, two hundred fifty-eight thousand, two hundred forty-seven".