82249200 has 360 divisors, whose sum is σ = 326217216. Its totient is φ = 19008000.

The previous prime is 82249199. The next prime is 82249229. The reversal of 82249200 is 294228.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1227567 + ... + 1227633.

Almost surely, 2^82249200 is an apocalyptic number.

82249200 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 82249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163108608).

82249200 is an abundant number, since it is smaller than the sum of its proper divisors (243968016).

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

82249200 is a wasteful number, since it uses less digits than its factorization.

82249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82249200 is about 9069.1344680736. The cubic root of 82249200 is about 434.8878030103.

It can be divided in two parts, 8224 and 9200, that added together give a square (17424 = 132²).

The spelling of 82249200 in words is "eighty-two million, two hundred forty-nine thousand, two hundred".