248226624 has 42 divisors (see below), whose sum is σ = 711498450. Its totient is φ = 82742016.

The previous prime is 248226593. The next prime is 248226637. The reversal of 248226624 is 426622842.

248226624 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 26 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212226624 + 36000000 = 14568^2 + 6000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 214899 + ... + 216050.

Almost surely, 2^248226624 is an apocalyptic number.

248226624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248226624 is an abundant number, since it is smaller than the sum of its proper divisors (463271826).

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

248226624 is a wasteful number, since it uses less digits than its factorization.

248226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430967 (or 430954 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 248226624 is about 15755.2094241873. The cubic root of 248226624 is about 628.4674464753.

The spelling of 248226624 in words is "two hundred forty-eight million, two hundred twenty-six thousand, six hundred twenty-four".