221516040 has 64 divisors (see below), whose sum is σ = 682522560. Its totient is φ = 57473280.

The previous prime is 221516039. The next prime is 221516081. The reversal of 221516040 is 40615122.

It is a junction number, because it is equal to n+sod(n) for n = 221515998 and 221516016.

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, 20506 + ... + 29385.

It is an arithmetic number, because the mean of its divisors is an integer number (10664415).

Almost surely, 2^221516040 is an apocalyptic number.

221516040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221516040 is an abundant number, since it is smaller than the sum of its proper divisors (461006520).

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

221516040 is a wasteful number, since it uses less digits than its factorization.

221516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49942 (or 49938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 221516040 is about 14883.4149307207. The cubic root of 221516040 is about 605.0645743064.

The spelling of 221516040 in words is "two hundred twenty-one million, five hundred sixteen thousand, forty".