82000224 has 36 divisors (see below), whose sum is σ = 233188956. Its totient is φ = 27333312.

The previous prime is 82000201. The next prime is 82000229. The reversal of 82000224 is 42200028.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82000197 and 82000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142074 + ... + 142649.

It is an arithmetic number, because the mean of its divisors is an integer number (6477471).

Almost surely, 2^82000224 is an apocalyptic number.

It is an amenable number.

82000224 is an abundant number, since it is smaller than the sum of its proper divisors (151188732).

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

82000224 is a wasteful number, since it uses less digits than its factorization.

82000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284739 (or 284728 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 82000224 is about 9055.3975064599. The cubic root of 82000224 is about 434.4485441716.

The spelling of 82000224 in words is "eighty-two million, two hundred twenty-four", and thus it is an aban number.