82266224 has 40 divisors (see below), whose sum is σ = 164743920. Its totient is φ = 39771648.

The previous prime is 82266221. The next prime is 82266227. The reversal of 82266224 is 42266228.

It is an interprime number because it is at equal distance from previous prime (82266221) and next prime (82266227).

It is a super-2 number, since 2×82266224² = 13535463222436352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82266221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74444 + ... + 75540.

It is an arithmetic number, because the mean of its divisors is an integer number (4118598).

Almost surely, 2^82266224 is an apocalyptic number.

It is an amenable number.

82266224 is an abundant number, since it is smaller than the sum of its proper divisors (82477696).

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

82266224 is a wasteful number, since it uses less digits than its factorization.

82266224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 82266224 is about 9070.0729875784. The cubic root of 82266224 is about 434.9178054063.

The spelling of 82266224 in words is "eighty-two million, two hundred sixty-six thousand, two hundred twenty-four".