165224416 has 48 divisors (see below), whose sum is σ = 373494240. Its totient is φ = 70479360.

The previous prime is 165224407. The next prime is 165224443. The reversal of 165224416 is 614422561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49686 + ... + 52906.

It is an arithmetic number, because the mean of its divisors is an integer number (7781130).

Almost surely, 2^165224416 is an apocalyptic number.

165224416 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 165224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186747120).

165224416 is an abundant number, since it is smaller than the sum of its proper divisors (208269824).

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

165224416 is a wasteful number, since it uses less digits than its factorization.

165224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3459 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 165224416 is about 12853.9649913947. The cubic root of 165224416 is about 548.7292048858.

Adding to 165224416 its reverse (614422561), we get a palindrome (779646977).

The spelling of 165224416 in words is "one hundred sixty-five million, two hundred twenty-four thousand, four hundred sixteen".