221930622720 has 432 divisors, whose sum is σ = 790164123840. Its totient is φ = 57484836864.

The previous prime is 221930622713. The next prime is 221930622763. The reversal of 221930622720 is 27226039122.

221930622720 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 3 + 0 + 622 + 7 + 20 = 666.

221930622720 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62885916 + ... + 62889444.

It is an arithmetic number, because the mean of its divisors is an integer number (1829083620).

Almost surely, 2^221930622720 is an apocalyptic number.

221930622720 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 221930622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395082061920).

221930622720 is an abundant number, since it is smaller than the sum of its proper divisors (568233501120).

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

221930622720 is a wasteful number, since it uses less digits than its factorization.

221930622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 221930622720 in words is "two hundred twenty-one billion, nine hundred thirty million, six hundred twenty-two thousand, seven hundred twenty".