221303011000 has 64 divisors (see below), whose sum is σ = 518270575680. Its totient is φ = 88449148800.

The previous prime is 221303010997. The next prime is 221303011049. The reversal of 221303011000 is 110303122.

It is a super-2 number, since 2×221303011000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1147549 + ... + 1326451.

It is an arithmetic number, because the mean of its divisors is an integer number (8097977745).

Almost surely, 2^221303011000 is an apocalyptic number.

221303011000 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 221303011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259135287840).

221303011000 is an abundant number, since it is smaller than the sum of its proper divisors (296967564680).

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

221303011000 is a wasteful number, since it uses less digits than its factorization.

221303011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180161 (or 180147 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 221303011000 its reverse (110303122), we get a palindrome (221413314122).

The spelling of 221303011000 in words is "two hundred twenty-one billion, three hundred three million, eleven thousand".