221034314000 has 80 divisors (see below), whose sum is σ = 535335818160. Its totient is φ = 88269004800.

The previous prime is 221034313967. The next prime is 221034314243. The reversal of 221034314000 is 413430122.

It can be written as a sum of positive squares in 8 ways, for example, as 106346427664 + 114687886336 = 326108^2 + 338656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135856 + ... + 1316144.

It is an arithmetic number, because the mean of its divisors is an integer number (6691697727).

Almost surely, 2^221034314000 is an apocalyptic number.

221034314000 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 221034314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267667909080).

221034314000 is an abundant number, since it is smaller than the sum of its proper divisors (314301504160).

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

221034314000 is a wasteful number, since it uses less digits than its factorization.

221034314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180925 (or 180909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221034314000 its reverse (413430122), we get a palindrome (221447744122).

The spelling of 221034314000 in words is "two hundred twenty-one billion, thirty-four million, three hundred fourteen thousand".