2232201434100 has 288 divisors, whose sum is σ = 7072047360000. Its totient is φ = 539116032000.

The previous prime is 2232201434011. The next prime is 2232201434119. The reversal of 2232201434100 is 14341022322.

It is a happy number.

It is a super-3 number, since 3×2232201434100³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1787190276 + ... + 1787191524.

It is an arithmetic number, because the mean of its divisors is an integer number (24555720000).

Almost surely, 2^{2232201434100} is an apocalyptic number.

2232201434100 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 2232201434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536023680000).

2232201434100 is an abundant number, since it is smaller than the sum of its proper divisors (4839845925900).

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

2232201434100 is a wasteful number, since it uses less digits than its factorization.

2232201434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2864 counting only the distinct ones).

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

Adding to 2232201434100 its reverse (14341022322), we get a palindrome (2246542456422).

The spelling of 2232201434100 in words is "two trillion, two hundred thirty-two billion, two hundred one million, four hundred thirty-four thousand, one hundred".