224644640 has 96 divisors (see below), whose sum is σ = 584781120. Its totient is φ = 80870400.

The previous prime is 224644627. The next prime is 224644691. The reversal of 224644640 is 46446422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 224644597 and 224644606.

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 15 ways as a sum of consecutive naturals, for example, 191255 + ... + 192425.

It is an arithmetic number, because the mean of its divisors is an integer number (6091470).

Almost surely, 2^224644640 is an apocalyptic number.

224644640 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 224644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292390560).

224644640 is an abundant number, since it is smaller than the sum of its proper divisors (360136480).

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

224644640 is a wasteful number, since it uses less digits than its factorization.

224644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 224644640 is about 14988.1499859055. The cubic root of 224644640 is about 607.8998276796.

It can be divided in two parts, 2 and 24644640, that added together give a palindrome (24644642).

The spelling of 224644640 in words is "two hundred twenty-four million, six hundred forty-four thousand, six hundred forty".