224640144 has 45 divisors (see below), whose sum is σ = 629184153. Its totient is φ = 74820096.

The previous prime is 224640137. The next prime is 224640151. The reversal of 224640144 is 441046422.

It is a happy number.

The square root of 224640144 is 14988.

It is a perfect power (a square), and thus also a powerful number.

224640144 is a `hidden beast` number, since 2 + 2 + 4 + 640 + 14 + 4 = 666.

224640144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224640137) and next prime (224640151).

It can be written as a sum of positive squares in only one way, i.e., 91929744 + 132710400 = 9588^2 + 11520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179232 + ... + 180480.

Almost surely, 2^224640144 is an apocalyptic number.

224640144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

224640144 is the 14988-th square number.

It is an amenable number.

224640144 is an abundant number, since it is smaller than the sum of its proper divisors (404544009).

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

224640144 is an equidigital number, since it uses as much as digits as its factorization.

224640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The cubic root of 224640144 is about 607.8957721843.

Adding to 224640144 its reverse (441046422), we get a palindrome (665686566).

The spelling of 224640144 in words is "two hundred twenty-four million, six hundred forty thousand, one hundred forty-four".