224119440 has 320 divisors, whose sum is σ = 838041600. Its totient is φ = 54867456.

The previous prime is 224119411. The next prime is 224119447. The reversal of 224119440 is 44911422.

It is a happy number.

224119440 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224119447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1764657 + ... + 1764783.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 2^224119440 is an apocalyptic number.

224119440 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 224119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419020800).

224119440 is an abundant number, since it is smaller than the sum of its proper divisors (613922160).

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

224119440 is a wasteful number, since it uses less digits than its factorization.

224119440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 224119440 is about 14970.6192256700. The cubic root of 224119440 is about 607.4257187031.

The spelling of 224119440 in words is "two hundred twenty-four million, one hundred nineteen thousand, four hundred forty".