224190749312 has 64 divisors (see below), whose sum is σ = 474882134400. Its totient is φ = 105059856384.

The previous prime is 224190749303. The next prime is 224190749323. The reversal of 224190749312 is 213947091422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×224190749312² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 304523 + ... + 735605.

It is an arithmetic number, because the mean of its divisors is an integer number (7420033350).

Almost surely, 2^224190749312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224190749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237441067200).

224190749312 is an abundant number, since it is smaller than the sum of its proper divisors (250691385088).

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

224190749312 is a wasteful number, since it uses less digits than its factorization.

224190749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431353 (or 431341 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 224190749312 in words is "two hundred twenty-four billion, one hundred ninety million, seven hundred forty-nine thousand, three hundred twelve".