82227200 has 156 divisors (see below), whose sum is σ = 225481848. Its totient is φ = 29491200.

The previous prime is 82227199. The next prime is 82227203. The reversal of 82227200 is 272228.

It is a happy number.

It is a super-2 number, since 2×82227200² = 13522624839680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82227203) 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, 1126364 + ... + 1126436.

Almost surely, 2^82227200 is an apocalyptic number.

82227200 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 82227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112740924).

82227200 is an abundant number, since it is smaller than the sum of its proper divisors (143254648).

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

82227200 is a wasteful number, since it uses less digits than its factorization.

82227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 82227200 is about 9067.9214817950. The cubic root of 82227200 is about 434.8490249843.

Adding to 82227200 its reverse (272228), we get a palindrome (82499428).

The spelling of 82227200 in words is "eighty-two million, two hundred twenty-seven thousand, two hundred".