8223013500 has 384 divisors, whose sum is σ = 27176927232. Its totient is φ = 1918080000.

The previous prime is 8223013499. The next prime is 8223013507. The reversal of 8223013500 is 53103228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8223013507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36874389 + ... + 36874611.

It is an arithmetic number, because the mean of its divisors is an integer number (70773248).

Almost surely, 2^8223013500 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 8223013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588463616).

8223013500 is an abundant number, since it is smaller than the sum of its proper divisors (18953913732).

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

8223013500 is a wasteful number, since it uses less digits than its factorization.

8223013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8223013500 is about 90680.8331457095. The cubic root of 8223013500 is about 2018.4143930531.

Adding to 8223013500 its reverse (53103228), we get a palindrome (8276116728).

The spelling of 8223013500 in words is "eight billion, two hundred twenty-three million, thirteen thousand, five hundred".