82216224 has 36 divisors (see below), whose sum is σ = 233803206. Its totient is φ = 27405312.

The previous prime is 82216219. The next prime is 82216241. The reversal of 82216224 is 42261228.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 27751824 = 7380^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142449 + ... + 143024.

Almost surely, 2^82216224 is an apocalyptic number.

It is an amenable number.

82216224 is an abundant number, since it is smaller than the sum of its proper divisors (151586982).

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

82216224 is a wasteful number, since it uses less digits than its factorization.

82216224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285489 (or 285478 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 82216224 is about 9067.3162512399. The cubic root of 82216224 is about 434.8296756884.

The spelling of 82216224 in words is "eighty-two million, two hundred sixteen thousand, two hundred twenty-four".