224282640 has 80 divisors (see below), whose sum is σ = 696848256. Its totient is φ = 59673600.

The previous prime is 224282633. The next prime is 224282677. The reversal of 224282640 is 46282422.

224282640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224282598 and 224282607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150700 + ... + 152180.

Almost surely, 2^224282640 is an apocalyptic number.

224282640 is a gapful number since it is divisible by the number (20) 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 224282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348424128).

224282640 is an abundant number, since it is smaller than the sum of its proper divisors (472565616).

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

224282640 is a wasteful number, since it uses less digits than its factorization.

224282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 224282640 is about 14976.0689100979. The cubic root of 224282640 is about 607.5731219880.

The spelling of 224282640 in words is "two hundred twenty-four million, two hundred eighty-two thousand, six hundred forty".