23130230400 has 240 divisors, whose sum is σ = 85356593190. Its totient is φ = 6167992320.

The previous prime is 23130230399. The next prime is 23130230407. The reversal of 23130230400 is 403203132.

23130230400 is a `hidden beast` number, since 2 + 3 + 1 + 30 + 230 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16777502784 + 6352727616 = 129528^2 + 79704^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (23130230407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 214582 + ... + 303818.

Almost surely, 2^23130230400 is an apocalyptic number.

23130230400 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 23130230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42678296595).

23130230400 is an abundant number, since it is smaller than the sum of its proper divisors (62226362790).

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

23130230400 is an equidigital number, since it uses as much as digits as its factorization.

23130230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89273 (or 89247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23130230400 its reverse (403203132), we get a palindrome (23533433532).

The spelling of 23130230400 in words is "twenty-three billion, one hundred thirty million, two hundred thirty thousand, four hundred".