221546880 has 128 divisors (see below), whose sum is σ = 784706400. Its totient is φ = 59074560.

The previous prime is 221546869. The next prime is 221546881. The reversal of 221546880 is 88645122.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221546881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10870 + ... + 23690.

Almost surely, 2^221546880 is an apocalyptic number.

221546880 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 221546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392353200).

221546880 is an abundant number, since it is smaller than the sum of its proper divisors (563159520).

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

221546880 is a wasteful number, since it uses less digits than its factorization.

221546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 221546880 is about 14884.4509472133. The cubic root of 221546880 is about 605.0926525222.

The spelling of 221546880 in words is "two hundred twenty-one million, five hundred forty-six thousand, eight hundred eighty".