221282064 has 160 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 66963456.

The previous prime is 221282059. The next prime is 221282071. The reversal of 221282064 is 460282122.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 212457 + ... + 213495.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^221282064 is an apocalyptic number.

221282064 is a gapful number since it is divisible by the number (24) 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 221282064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

221282064 is an abundant number, since it is smaller than the sum of its proper divisors (475101936).

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

221282064 is a wasteful number, since it uses less digits than its factorization.

221282064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 221282064 is about 14875.5525611656. The cubic root of 221282064 is about 604.8514663938.

The spelling of 221282064 in words is "two hundred twenty-one million, two hundred eighty-two thousand, sixty-four".