221455080 has 256 divisors, whose sum is σ = 920678400. Its totient is φ = 45999360.

The previous prime is 221455043. The next prime is 221455097. The reversal of 221455080 is 80554122.

It is a happy number.

221455080 is a `hidden beast` number, since 22 + 14 + 550 + 80 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81829 + ... + 84491.

It is an arithmetic number, because the mean of its divisors is an integer number (3596400).

Almost surely, 2^221455080 is an apocalyptic number.

221455080 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 221455080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460339200).

221455080 is an abundant number, since it is smaller than the sum of its proper divisors (699223320).

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

221455080 is a wasteful number, since it uses less digits than its factorization.

221455080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 221455080 is about 14881.3668727036. The cubic root of 221455080 is about 605.0090657294.

It can be divided in two parts, 22145 and 5080, that added together give a square (27225 = 165²).

The spelling of 221455080 in words is "two hundred twenty-one million, four hundred fifty-five thousand, eighty".