224340144 has 80 divisors (see below), whose sum is σ = 697217280. Its totient is φ = 60721920.

The previous prime is 224340113. The next prime is 224340157. The reversal of 224340144 is 441043422.

It is a happy number.

224340144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11187 + ... + 23954.

It is an arithmetic number, because the mean of its divisors is an integer number (8715216).

Almost surely, 2^224340144 is an apocalyptic number.

224340144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224340144 is an abundant number, since it is smaller than the sum of its proper divisors (472877136).

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

224340144 is a wasteful number, since it uses less digits than its factorization.

224340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35172 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 224340144 is about 14977.9886500157. The cubic root of 224340144 is about 607.6250429322.

Adding to 224340144 its reverse (441043422), we get a palindrome (665383566).

The spelling of 224340144 in words is "two hundred twenty-four million, three hundred forty thousand, one hundred forty-four".