221079040 has 240 divisors, whose sum is σ = 664966368. Its totient is φ = 69009408.

The previous prime is 221079031. The next prime is 221079071. The reversal of 221079040 is 40970122.

It is a junction number, because it is equal to n+sod(n) for n = 221078996 and 221079014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028444 + ... + 3028516.

Almost surely, 2^221079040 is an apocalyptic number.

221079040 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 221079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332483184).

221079040 is an abundant number, since it is smaller than the sum of its proper divisors (443887328).

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

221079040 is an equidigital number, since it uses as much as digits as its factorization.

221079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 221079040 is about 14868.7269125504. The cubic root of 221079040 is about 604.6664281417. Note that the first 3 decimals are identical.

The spelling of 221079040 in words is "two hundred twenty-one million, seventy-nine thousand, forty".