165268224 has 108 divisors (see below), whose sum is σ = 519907752. Its totient is φ = 50073600.

The previous prime is 165268217. The next prime is 165268273. The reversal of 165268224 is 422862561.

It is a happy number.

It is a super-2 number, since 2×165268224² = 54627171728228352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22084 + ... + 28604.

Almost surely, 2^165268224 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 165268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259953876).

165268224 is an abundant number, since it is smaller than the sum of its proper divisors (354639528).

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

165268224 is a wasteful number, since it uses less digits than its factorization.

165268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6537 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 165268224 is about 12855.6689440884. The cubic root of 165268224 is about 548.7776977283. Note that the first 3 decimals are identical.

The spelling of 165268224 in words is "one hundred sixty-five million, two hundred sixty-eight thousand, two hundred twenty-four".