221015314000 has 160 divisors (see below), whose sum is σ = 575925700896. Its totient is φ = 81548697600.

The previous prime is 221015313977. The next prime is 221015314007. The reversal of 221015314000 is 413510122.

It can be written as a sum of positive squares in 16 ways, for example, as 68606277184 + 152409036816 = 261928^2 + 390396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221015314007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62840242 + ... + 62843758.

Almost surely, 2^221015314000 is an apocalyptic number.

221015314000 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 221015314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287962850448).

221015314000 is an abundant number, since it is smaller than the sum of its proper divisors (354910386896).

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

221015314000 is a wasteful number, since it uses less digits than its factorization.

221015314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 221015314000 its reverse (413510122), we get a palindrome (221428824122).

The spelling of 221015314000 in words is "two hundred twenty-one billion, fifteen million, three hundred fourteen thousand".