82224400 has 120 divisors (see below), whose sum is σ = 215264000. Its totient is φ = 30067200.

The previous prime is 82224391. The next prime is 82224409. The reversal of 82224400 is 442228.

It is an interprime number because it is at equal distance from previous prime (82224391) and next prime (82224409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82224409) by changing a digit.

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, 235426 + ... + 235774.

Almost surely, 2^82224400 is an apocalyptic number.

82224400 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 82224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107632000).

82224400 is an abundant number, since it is smaller than the sum of its proper divisors (133039600).

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

82224400 is a wasteful number, since it uses less digits than its factorization.

82224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 82224400 is about 9067.7670900834. The cubic root of 82224400 is about 434.8440891031.

Adding to 82224400 its reverse (442228), we get a palindrome (82666628).

The spelling of 82224400 in words is "eighty-two million, two hundred twenty-four thousand, four hundred".