165223800 has 480 divisors, whose sum is σ = 691384320. Its totient is φ = 35769600.

The previous prime is 165223763. The next prime is 165223801. The reversal of 165223800 is 8322561.

165223800 is a `hidden beast` number, since 1 + 652 + 2 + 3 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165223801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3515377 + ... + 3515423.

It is an arithmetic number, because the mean of its divisors is an integer number (1440384).

Almost surely, 2^165223800 is an apocalyptic number.

165223800 is a gapful number since it is divisible by the number (10) 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 165223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

165223800 is an abundant number, since it is smaller than the sum of its proper divisors (526160520).

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

165223800 is a wasteful number, since it uses less digits than its factorization.

165223800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165223800 is about 12853.9410298943. The cubic root of 165223800 is about 548.7285229494.

It can be divided in two parts, 1652 and 23800, that added together give a palindrome (25452).

The spelling of 165223800 in words is "one hundred sixty-five million, two hundred twenty-three thousand, eight hundred".