221416992 has 72 divisors (see below), whose sum is σ = 634299120. Its totient is φ = 73261440.

The previous prime is 221416967. The next prime is 221416997. The reversal of 221416992 is 299614122.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221416997) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37267 + ... + 42797.

It is an arithmetic number, because the mean of its divisors is an integer number (8809710).

Almost surely, 2^221416992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317149560).

221416992 is an abundant number, since it is smaller than the sum of its proper divisors (412882128).

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

221416992 is a wasteful number, since it uses less digits than its factorization.

221416992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5675 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 221416992 is about 14880.0870965193. The cubic root of 221416992 is about 604.9743786249.

The spelling of 221416992 in words is "two hundred twenty-one million, four hundred sixteen thousand, nine hundred ninety-two".