82240315000 has 40 divisors (see below), whose sum is σ = 192689069760. Its totient is φ = 32896124000.

The previous prime is 82240314983. The next prime is 82240315007. The reversal of 82240315000 is 51304228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×82240315000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82240315007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8219032 + ... + 8229031.

It is an arithmetic number, because the mean of its divisors is an integer number (4817226744).

Almost surely, 2^82240315000 is an apocalyptic number.

It is an amenable number.

82240315000 is an abundant number, since it is smaller than the sum of its proper divisors (110448754760).

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

82240315000 is a wasteful number, since it uses less digits than its factorization.

82240315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448089 (or 16448070 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 82240315000 its reverse (51304228), we get a palindrome (82291619228).

The spelling of 82240315000 in words is "eighty-two billion, two hundred forty million, three hundred fifteen thousand".