221431467506200 has 192 divisors, whose sum is σ = 589770466560000. Its totient is φ = 75739395824640.

The previous prime is 221431467506159. The next prime is 221431467506201. The reversal of 221431467506200 is 2605764134122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221431467506201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463068851 + ... + 2463158749.

It is an arithmetic number, because the mean of its divisors is an integer number (3071721180000).

Almost surely, 2^{221431467506200} is an apocalyptic number.

221431467506200 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 221431467506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294885233280000).

221431467506200 is an abundant number, since it is smaller than the sum of its proper divisors (368338999053800).

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

221431467506200 is a wasteful number, since it uses less digits than its factorization.

221431467506200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94074 (or 94065 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 221431467506200 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred sixty-seven million, five hundred six thousand, two hundred".