82229340 has 96 divisors (see below), whose sum is σ = 256677120. Its totient is φ = 19547136.

The previous prime is 82229327. The next prime is 82229369. The reversal of 82229340 is 4392228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82229298 and 82229307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17259 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (2673720).

Almost surely, 2^82229340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82229340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338560).

82229340 is an abundant number, since it is smaller than the sum of its proper divisors (174447780).

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

82229340 is a wasteful number, since it uses less digits than its factorization.

82229340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82229340 is about 9068.0394794024. The cubic root of 82229340 is about 434.8527973323.

The spelling of 82229340 in words is "eighty-two million, two hundred twenty-nine thousand, three hundred forty".