82233800 has 48 divisors (see below), whose sum is σ = 208580400. Its totient is φ = 29902400.

The previous prime is 82233799. The next prime is 82233803. The reversal of 82233800 is 833228.

It is a self number, because there is not a number n which added to its sum of digits gives 82233800.

It is not an unprimeable number, because it can be changed into a prime (82233803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16490 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (4345425).

Almost surely, 2^82233800 is an apocalyptic number.

It is an amenable number.

82233800 is an abundant number, since it is smaller than the sum of its proper divisors (126346600).

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

82233800 is a wasteful number, since it uses less digits than its factorization.

82233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37406 (or 37397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82233800 is about 9068.2853947149. The cubic root of 82233800 is about 434.8606591183.

The spelling of 82233800 in words is "eighty-two million, two hundred thirty-three thousand, eight hundred".