224613648 has 240 divisors, whose sum is σ = 765040320. Its totient is φ = 63685440.

The previous prime is 224613617. The next prime is 224613667. The reversal of 224613648 is 846316422.

224613648 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 1 + 3 + 648 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714543 + ... + 1714673.

It is an arithmetic number, because the mean of its divisors is an integer number (3187668).

Almost surely, 2^224613648 is an apocalyptic number.

224613648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224613648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382520160).

224613648 is an abundant number, since it is smaller than the sum of its proper divisors (540426672).

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

224613648 is an equidigital number, since it uses as much as digits as its factorization.

224613648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 224613648 is about 14987.1160668089. The cubic root of 224613648 is about 607.8718710842.

The spelling of 224613648 in words is "two hundred twenty-four million, six hundred thirteen thousand, six hundred forty-eight".