214433104310200 has 96 divisors (see below), whose sum is σ = 501144724684800. Its totient is φ = 85328577048960.

The previous prime is 214433104310171. The next prime is 214433104310363. The reversal of 214433104310200 is 2013401334412.

It is a happy number.

It is a super-2 number, since 2×214433104310200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61776441 + ... + 65155159.

It is an arithmetic number, because the mean of its divisors is an integer number (5220257548800).

Almost surely, 2^{214433104310200} is an apocalyptic number.

214433104310200 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 214433104310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250572362342400).

214433104310200 is an abundant number, since it is smaller than the sum of its proper divisors (286711620374600).

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

214433104310200 is a wasteful number, since it uses less digits than its factorization.

214433104310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380381 (or 3380372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214433104310200 its reverse (2013401334412), we get a palindrome (216446505644612).

The spelling of 214433104310200 in words is "two hundred fourteen trillion, four hundred thirty-three billion, one hundred four million, three hundred ten thousand, two hundred".