221280000 has 180 divisors, whose sum is σ = 737520168. Its totient is φ = 58880000.

The previous prime is 221279983. The next prime is 221280013. The reversal of 221280000 is 82122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 479770 + ... + 480230.

Almost surely, 2^221280000 is an apocalyptic number.

221280000 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 221280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368760084).

221280000 is an abundant number, since it is smaller than the sum of its proper divisors (516240168).

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

221280000 is an frugal number, since it uses more digits than its factorization.

221280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221280000 is about 14875.4831854296. The cubic root of 221280000 is about 604.8495858116.

The spelling of 221280000 in words is "two hundred twenty-one million, two hundred eighty thousand".