221919264 has 216 divisors, whose sum is σ = 753899328. Its totient is φ = 62985600.

The previous prime is 221919253. The next prime is 221919277. The reversal of 221919264 is 462919122.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime factors (192).

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 35 ways as a sum of consecutive naturals, for example, 1469589 + ... + 1469739.

Almost surely, 2^221919264 is an apocalyptic number.

221919264 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 221919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376949664).

221919264 is an abundant number, since it is smaller than the sum of its proper divisors (531980064).

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

221919264 is an frugal number, since it uses more digits than its factorization.

221919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 221919264 is about 14896.9548566142. The cubic root of 221919264 is about 605.4314832839.

The spelling of 221919264 in words is "two hundred twenty-one million, nine hundred nineteen thousand, two hundred sixty-four".