8202240000 has 450 divisors, whose sum is σ = 29941501590. Its totient is φ = 2162688000.

The previous prime is 8202239999. The next prime is 8202240041. The reversal of 8202240000 is 422028.

It can be written as a sum of positive squares in 5 ways, for example, as 4567597056 + 3634642944 = 67584^2 + 60288^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92159956 + ... + 92160044.

Almost surely, 2^8202240000 is an apocalyptic number.

8202240000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8202240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970750795).

8202240000 is an abundant number, since it is smaller than the sum of its proper divisors (21739261590).

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

8202240000 is an frugal number, since it uses more digits than its factorization.

8202240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

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

The square root of 8202240000 is about 90566.2188677434. The cubic root of 8202240000 is about 2016.7132774632.

Adding to 8202240000 its reverse (422028), we get a palindrome (8202662028).

The spelling of 8202240000 in words is "eight billion, two hundred two million, two hundred forty thousand".