221224724640 has 960 divisors, whose sum is σ = 862128368640. Its totient is φ = 53210234880.

The previous prime is 221224724629. The next prime is 221224724653. The reversal of 221224724640 is 46427422122.

221224724640 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 4 + 7 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221224724595 and 221224724604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 557240922 + ... + 557241318.

It is an arithmetic number, because the mean of its divisors is an integer number (898050384).

Almost surely, 2^221224724640 is an apocalyptic number.

221224724640 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 221224724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431064184320).

221224724640 is an abundant number, since it is smaller than the sum of its proper divisors (640903644000).

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

221224724640 is a wasteful number, since it uses less digits than its factorization.

221224724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 221224724640 in words is "two hundred twenty-one billion, two hundred twenty-four million, seven hundred twenty-four thousand, six hundred forty".