82216248 has 64 divisors (see below), whose sum is σ = 210662400. Its totient is φ = 26732160.

The previous prime is 82216241. The next prime is 82216261. The reversal of 82216248 is 84261228.

It is a happy number.

It is a super-2 number, since 2×82216248² = 13519022870395008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82216241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195078 + ... + 195498.

It is an arithmetic number, because the mean of its divisors is an integer number (3291600).

Almost surely, 2^82216248 is an apocalyptic number.

It is an amenable number.

82216248 is an abundant number, since it is smaller than the sum of its proper divisors (128446152).

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

82216248 is a wasteful number, since it uses less digits than its factorization.

82216248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 82216248 is about 9067.3175746744. The cubic root of 82216248 is about 434.8297179992.

The spelling of 82216248 in words is "eighty-two million, two hundred sixteen thousand, two hundred forty-eight".