23134215200 has 144 divisors (see below), whose sum is σ = 57082362120. Its totient is φ = 9155051520.

The previous prime is 23134215197. The next prime is 23134215227. The reversal of 23134215200 is 251243132.

It can be written as a sum of positive squares in 12 ways, for example, as 3342227344 + 19791987856 = 57812^2 + 140684^2 .

It is a super-2 number, since 2×23134215200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41533322 + ... + 41533878.

Almost surely, 2^23134215200 is an apocalyptic number.

23134215200 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 23134215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541181060).

23134215200 is an abundant number, since it is smaller than the sum of its proper divisors (33948146920).

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

23134215200 is a wasteful number, since it uses less digits than its factorization.

23134215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 23134215200 its reverse (251243132), we get a palindrome (23385458332).

The spelling of 23134215200 in words is "twenty-three billion, one hundred thirty-four million, two hundred fifteen thousand, two hundred".