221977845000 has 180 divisors, whose sum is σ = 751585419585. Its totient is φ = 59167440000.

The previous prime is 221977844941. The next prime is 221977845007. The reversal of 221977845000 is 548779122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221977845000 is a `hidden beast` number, since 2 + 2 + 197 + 7 + 8 + 450 + 0 + 0 = 666.

221977845000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2285031204 + 219692813796 = 47802^2 + 468714^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333150.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (221977845007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99943890 + ... + 99946110.

Almost surely, 2^221977845000 is an apocalyptic number.

221977845000 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 221977845000

221977845000 is an abundant number, since it is smaller than the sum of its proper divisors (529607574585).

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

221977845000 is an frugal number, since it uses more digits than its factorization.

221977845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 221977845000 in words is "two hundred twenty-one billion, nine hundred seventy-seven million, eight hundred forty-five thousand".