224391330 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 51010560.

The previous prime is 224391317. The next prime is 224391331. The reversal of 224391330 is 33193422.

It is a happy number.

224391330 is a `hidden beast` number, since 2 + 243 + 91 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224391294 and 224391303.

It is not an unprimeable number, because it can be changed into a prime (224391331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2703469 + ... + 2703551.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^224391330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224391330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

224391330 is an abundant number, since it is smaller than the sum of its proper divisors (472338270).

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

224391330 is a wasteful number, since it uses less digits than its factorization.

224391330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 224391330 is about 14979.6972599582. The cubic root of 224391330 is about 607.6712518269.

The spelling of 224391330 in words is "two hundred twenty-four million, three hundred ninety-one thousand, three hundred thirty".