2231431402200 has 768 divisors, whose sum is σ = 9313203916800. Its totient is φ = 426833971200.

The previous prime is 2231431402117. The next prime is 2231431402289. The reversal of 2231431402200 is 22041341322.

It is a happy number.

It is a super-3 number, since 3×2231431402200³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227622499 + ... + 227632301.

It is an arithmetic number, because the mean of its divisors is an integer number (12126567600).

Almost surely, 2^{2231431402200} is an apocalyptic number.

2231431402200 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 2231431402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656601958400).

2231431402200 is an abundant number, since it is smaller than the sum of its proper divisors (7081772514600).

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

2231431402200 is a wasteful number, since it uses less digits than its factorization.

2231431402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2231431402200 its reverse (22041341322), we get a palindrome (2253472743522).

The spelling of 2231431402200 in words is "two trillion, two hundred thirty-one billion, four hundred thirty-one million, four hundred two thousand, two hundred".