221282880 has 448 divisors, whose sum is σ = 921715200. Its totient is φ = 43646976.

The previous prime is 221282861. The next prime is 221282881. The reversal of 221282880 is 88282122.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×221282880² = 97932225962188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221282881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485046 + ... + 1485194.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^221282880 is an apocalyptic number.

221282880 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 221282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460857600).

221282880 is an abundant number, since it is smaller than the sum of its proper divisors (700432320).

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

221282880 is a wasteful number, since it uses less digits than its factorization.

221282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 221282880 is about 14875.5799886929. The cubic root of 221282880 is about 604.8522098765.

The spelling of 221282880 in words is "two hundred twenty-one million, two hundred eighty-two thousand, eight hundred eighty".