23201000000 has 98 divisors (see below), whose sum is σ = 57551099274. Its totient is φ = 9280000000.

The previous prime is 23200999993. The next prime is 23201000003. The reversal of 23201000000 is 10232.

It can be written as a sum of positive squares in 7 ways, for example, as 22015437376 + 1185562624 = 148376^2 + 34432^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (23201000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 988400 + ... + 1011600.

Almost surely, 2^23201000000 is an apocalyptic number.

23201000000 is a gapful number since it is divisible by the number (20) 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 23201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28775549637).

23201000000 is an abundant number, since it is smaller than the sum of its proper divisors (34350099274).

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

23201000000 is an frugal number, since it uses more digits than its factorization.

23201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23243 (or 23208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 23201000000 its reverse (10232), we get a palindrome (23201010232).

The spelling of 23201000000 in words is "twenty-three billion, two hundred one million", and thus it is an aban number.