82224264 has 32 divisors (see below), whose sum is σ = 214499520. Its totient is φ = 26216256.

The previous prime is 82224239. The next prime is 82224269. The reversal of 82224264 is 46242228.

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

It is not an unprimeable number, because it can be changed into a prime (82224269) 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 7 ways as a sum of consecutive naturals, for example, 73927 + ... + 75030.

It is an arithmetic number, because the mean of its divisors is an integer number (6703110).

Almost surely, 2^82224264 is an apocalyptic number.

It is an amenable number.

82224264 is an abundant number, since it is smaller than the sum of its proper divisors (132275256).

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

82224264 is a wasteful number, since it uses less digits than its factorization.

82224264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148989 (or 148985 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 82224264 is about 9067.7595909905. The cubic root of 82224264 is about 434.8438493574.

The spelling of 82224264 in words is "eighty-two million, two hundred twenty-four thousand, two hundred sixty-four".