83052200 has 96 divisors (see below), whose sum is σ = 240788160. Its totient is φ = 25881600.

The previous prime is 83052197. The next prime is 83052209. The reversal of 83052200 is 225038.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (83052209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12704 + ... + 18096.

It is an arithmetic number, because the mean of its divisors is an integer number (2508210).

Almost surely, 2^83052200 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 83052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120394080).

83052200 is an abundant number, since it is smaller than the sum of its proper divisors (157735960).

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

83052200 is a wasteful number, since it uses less digits than its factorization.

83052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83052200 is about 9113.2979760348. The cubic root of 83052200 is about 436.2984938005.

Adding to 83052200 its reverse (225038), we get a palindrome (83277238).

The spelling of 83052200 in words is "eighty-three million, fifty-two thousand, two hundred".