82233228 has 48 divisors (see below), whose sum is σ = 239226624. Its totient is φ = 21359040.

The previous prime is 82233227. The next prime is 82233253.

82233228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82233195 and 82233204.

It is not an unprimeable number, because it can be changed into a prime (82233223) 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, 43575 + ... + 45422.

It is an arithmetic number, because the mean of its divisors is an integer number (4983888).

Almost surely, 2^82233228 is an apocalyptic number.

It is an amenable number.

82233228 is an abundant number, since it is smaller than the sum of its proper divisors (156993396).

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

82233228 is a wasteful number, since it uses less digits than its factorization.

82233228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89022 (or 89020 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 82233228 is about 9068.2538561732. The cubic root of 82233228 is about 434.8596508513.

The spelling of 82233228 in words is "eighty-two million, two hundred thirty-three thousand, two hundred twenty-eight".