221885807220 has 576 divisors, whose sum is σ = 922145817600. Its totient is φ = 43678414080.

The previous prime is 221885807203. The next prime is 221885807249. The reversal of 221885807220 is 22708588122.

It is a super-2 number, since 2×221885807220² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5510079 + ... + 5550201.

It is an arithmetic number, because the mean of its divisors is an integer number (1600947600).

Almost surely, 2^221885807220 is an apocalyptic number.

221885807220 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 221885807220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461072908800).

221885807220 is an abundant number, since it is smaller than the sum of its proper divisors (700260010380).

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

221885807220 is a wasteful number, since it uses less digits than its factorization.

221885807220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40185 (or 40170 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 221885807220 in words is "two hundred twenty-one billion, eight hundred eighty-five million, eight hundred seven thousand, two hundred twenty".