224145524430 has 32 divisors (see below), whose sum is σ = 597721399200. Its totient is φ = 59772139776.

The previous prime is 224145524411. The next prime is 224145524437. The reversal of 224145524430 is 34425541422.

224145524430 is a `hidden beast` number, since 2 + 24 + 14 + 552 + 44 + 30 = 666.

It is a super-2 number, since 2×224145524430² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224145524437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415084035 + ... + 415084574.

It is an arithmetic number, because the mean of its divisors is an integer number (18678793725).

Almost surely, 2^224145524430 is an apocalyptic number.

224145524430 is an abundant number, since it is smaller than the sum of its proper divisors (373575874770).

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

224145524430 is a wasteful number, since it uses less digits than its factorization.

224145524430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830168625 (or 830168619 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 224145524430 in words is "two hundred twenty-four billion, one hundred forty-five million, five hundred twenty-four thousand, four hundred thirty".