182220416 has 96 divisors (see below), whose sum is σ = 447387300. Its totient is φ = 73457664.

The previous prime is 182220407. The next prime is 182220439. The reversal of 182220416 is 614022281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 182142016 + 78400 = 13496^2 + 280^2 .

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 11 ways as a sum of consecutive naturals, for example, 105770 + ... + 107478.

Almost surely, 2^182220416 is an apocalyptic number.

182220416 is a gapful number since it is divisible by the number (16) 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 182220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223693650).

182220416 is an abundant number, since it is smaller than the sum of its proper divisors (265166884).

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

182220416 is a wasteful number, since it uses less digits than its factorization.

182220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 182220416 is about 13498.9042518273. The cubic root of 182220416 is about 566.9337930113.

Adding to 182220416 its reverse (614022281), we get a palindrome (796242697).

The spelling of 182220416 in words is "one hundred eighty-two million, two hundred twenty thousand, four hundred sixteen".