221266080 has 336 divisors, whose sum is σ = 899023104. Its totient is φ = 50388480.

The previous prime is 221266063. The next prime is 221266099. The reversal of 221266080 is 80662122.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816345 + ... + 816615.

It is an arithmetic number, because the mean of its divisors is an integer number (2675664).

Almost surely, 2^221266080 is an apocalyptic number.

221266080 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 221266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449511552).

221266080 is an abundant number, since it is smaller than the sum of its proper divisors (677757024).

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

221266080 is an equidigital number, since it uses as much as digits as its factorization.

221266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 221266080 is about 14875.0152941098. The cubic root of 221266080 is about 604.8369025102.

The spelling of 221266080 in words is "two hundred twenty-one million, two hundred sixty-six thousand, eighty".