83222400 has 96 divisors (see below), whose sum is σ = 274145400. Its totient is φ = 22190080.

The previous prime is 83222393. The next prime is 83222407. The reversal of 83222400 is 422238.

It is an interprime number because it is at equal distance from previous prime (83222393) and next prime (83222407).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×83222400³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83222407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5266 + ... + 13934.

Almost surely, 2^83222400 is an apocalyptic number.

83222400 is a gapful number since it is divisible by the number (80) 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 83222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137072700).

83222400 is an abundant number, since it is smaller than the sum of its proper divisors (190923000).

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

83222400 is a wasteful number, since it uses less digits than its factorization.

83222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 83222400 is about 9122.6311993854. The cubic root of 83222400 is about 436.5963279150.

Adding to 83222400 its reverse (422238), we get a palindrome (83644638).

It can be divided in two parts, 832 and 22400, that added together give a palindrome (23232).

The spelling of 83222400 in words is "eighty-three million, two hundred twenty-two thousand, four hundred".