221130200320 has 72 divisors (see below), whose sum is σ = 542594986920. Its totient is φ = 86294691840.

The previous prime is 221130200299. The next prime is 221130200327. The reversal of 221130200320 is 23002031122.

It can be written as a sum of positive squares in 4 ways, for example, as 4897760256 + 216232440064 = 69984^2 + 465008^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221130200294 and 221130200303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221130200327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2054325 + ... + 2159284.

It is an arithmetic number, because the mean of its divisors is an integer number (7536041485).

Almost surely, 2^221130200320 is an apocalyptic number.

221130200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221130200320 is an abundant number, since it is smaller than the sum of its proper divisors (321464786600).

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

221130200320 is an equidigital number, since it uses as much as digits as its factorization.

221130200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213671 (or 4213657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221130200320 its reverse (23002031122), we get a palindrome (244132231442).

The spelling of 221130200320 in words is "two hundred twenty-one billion, one hundred thirty million, two hundred thousand, three hundred twenty".