221500040 has 64 divisors (see below), whose sum is σ = 514926720. Its totient is φ = 85696000.

The previous prime is 221500039. The next prime is 221500063. The reversal of 221500040 is 40005122.

221500040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221499988 and 221500024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214325 + ... + 215355.

It is an arithmetic number, because the mean of its divisors is an integer number (8045730).

Almost surely, 2^221500040 is an apocalyptic number.

221500040 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 221500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257463360).

221500040 is an abundant number, since it is smaller than the sum of its proper divisors (293426680).

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

221500040 is a wasteful number, since it uses less digits than its factorization.

221500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 221500040 is about 14882.8774099634. The cubic root of 221500040 is about 605.0500061118.

Adding to 221500040 its reverse (40005122), we get a palindrome (261505162).

The spelling of 221500040 in words is "two hundred twenty-one million, five hundred thousand, forty".