82221400 has 96 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 31104000.

The previous prime is 82221319. The next prime is 82221431. The reversal of 82221400 is 412228.

It is a congruent number.

It is an unprimeable number.

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, 303265 + ... + 303535.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^82221400 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 82221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

82221400 is an abundant number, since it is smaller than the sum of its proper divisors (119640680).

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

82221400 is a wasteful number, since it uses less digits than its factorization.

82221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 82221400 is about 9067.6016674753. The cubic root of 82221400 is about 434.8388005345.

Adding to 82221400 its reverse (412228), we get a palindrome (82633628).

It can be divided in two parts, 82221 and 400, that added together give a triangular number (82621 = T₄₀₆).

The spelling of 82221400 in words is "eighty-two million, two hundred twenty-one thousand, four hundred".