221887680 has 336 divisors, whose sum is σ = 844356960. Its totient is φ = 49201152.

The previous prime is 221887663. The next prime is 221887691. The reversal of 221887680 is 86788122.

221887680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493076 + ... + 2493164.

Almost surely, 2^221887680 is an apocalyptic number.

221887680 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 221887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422178480).

221887680 is an abundant number, since it is smaller than the sum of its proper divisors (622469280).

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

221887680 is a wasteful number, since it uses less digits than its factorization.

221887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 221887680 is about 14895.8947364702. The cubic root of 221887680 is about 605.4027598420.

It can be divided in two parts, 2218 and 87680, that added together give a palindrome (89898).

The spelling of 221887680 in words is "two hundred twenty-one million, eight hundred eighty-seven thousand, six hundred eighty".