221630383805700 has 144 divisors (see below), whose sum is σ = 647623667557440. Its totient is φ = 58514097600000.

The previous prime is 221630383805609. The next prime is 221630383805737. The reversal of 221630383805700 is 7508383036122.

It is a self number, because there is not a number n which added to its sum of digits gives 221630383805700.

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, 917029875 + ... + 917271525.

It is an arithmetic number, because the mean of its divisors is an integer number (4497386580260).

Almost surely, 2^{221630383805700} is an apocalyptic number.

221630383805700 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 221630383805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323811833778720).

221630383805700 is an abundant number, since it is smaller than the sum of its proper divisors (425993283751740).

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

221630383805700 is a wasteful number, since it uses less digits than its factorization.

221630383805700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272038 (or 272031 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 221630383805700 in words is "two hundred twenty-one trillion, six hundred thirty billion, three hundred eighty-three million, eight hundred five thousand, seven hundred".