230778592200 has 540 divisors, whose sum is σ = 852333738165. Its totient is φ = 55959171840.

The previous prime is 230778592189. The next prime is 230778592201. The reversal of 230778592200 is 2295877032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

230778592200 is a `hidden beast` number, since 2 + 30 + 7 + 7 + 8 + 592 + 20 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 146770207236 + 84008384964 = 383106^2 + 289842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=339690.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (230778592201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3444456567 + ... + 3444456633.

Almost surely, 2^230778592200 is an apocalyptic number.

230778592200 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 230778592200

230778592200 is an abundant number, since it is smaller than the sum of its proper divisors (621555145965).

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

230778592200 is an equidigital number, since it uses as much as digits as its factorization.

230778592200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 230778592200 in words is "two hundred thirty billion, seven hundred seventy-eight million, five hundred ninety-two thousand, two hundred".