221828880 has 240 divisors, whose sum is σ = 862069824. Its totient is φ = 46771200.

The previous prime is 221828863. The next prime is 221828891. The reversal of 221828880 is 88828122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 152155 + ... + 153605.

Almost surely, 2^221828880 is an apocalyptic number.

221828880 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 221828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

221828880 is an abundant number, since it is smaller than the sum of its proper divisors (640240944).

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

221828880 is a wasteful number, since it uses less digits than its factorization.

221828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 221828880 is about 14893.9209075381. The cubic root of 221828880 is about 605.3492780877.

The spelling of 221828880 in words is "two hundred twenty-one million, eight hundred twenty-eight thousand, eight hundred eighty".