230122032200 has 96 divisors (see below), whose sum is σ = 537008385960. Its totient is φ = 91709798400.

The previous prime is 230122032169. The next prime is 230122032277. The reversal of 230122032200 is 2230221032.

It can be written as a sum of positive squares in 12 ways, for example, as 14846447716 + 215275584484 = 121846^2 + 463978^2 .

It is a super-2 number, since 2×230122032200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70652972 + ... + 70656228.

Almost surely, 2^230122032200 is an apocalyptic number.

230122032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230122032200 is an abundant number, since it is smaller than the sum of its proper divisors (306886353760).

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

230122032200 is a wasteful number, since it uses less digits than its factorization.

230122032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 230122032200 its reverse (2230221032), we get a palindrome (232352253232).

The spelling of 230122032200 in words is "two hundred thirty billion, one hundred twenty-two million, thirty-two thousand, two hundred".