82224000 has 192 divisors, whose sum is σ = 295804080. Its totient is φ = 21888000.

The previous prime is 82223929. The next prime is 82224017. The reversal of 82224000 is 42228.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143715 + ... + 144285.

Almost surely, 2^82224000 is an apocalyptic number.

82224000 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 82224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147902040).

82224000 is an abundant number, since it is smaller than the sum of its proper divisors (213580080).

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

82224000 is a wasteful number, since it uses less digits than its factorization.

82224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 82224000 is about 9067.7450339100. The cubic root of 82224000 is about 434.8433839680.

Adding to 82224000 its reverse (42228), we get a palindrome (82266228).

The spelling of 82224000 in words is "eighty-two million, two hundred twenty-four thousand".