165228336 has 240 divisors, whose sum is σ = 591462144. Its totient is φ = 43483392.

The previous prime is 165228331. The next prime is 165228353. The reversal of 165228336 is 633822561.

It is a happy number.

165228336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165228336.

It is not an unprimeable number, because it can be changed into a prime (165228331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353575 + ... + 354041.

Almost surely, 2^165228336 is an apocalyptic number.

165228336 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 165228336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295731072).

165228336 is an abundant number, since it is smaller than the sum of its proper divisors (426233808).

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

165228336 is a wasteful number, since it uses less digits than its factorization.

165228336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 165228336 is about 12854.1174726233. The cubic root of 165228336 is about 548.7335444411.

The spelling of 165228336 in words is "one hundred sixty-five million, two hundred twenty-eight thousand, three hundred thirty-six".