214002232200 has 384 divisors, whose sum is σ = 781551763200. Its totient is φ = 53636567040.

The previous prime is 214002232187. The next prime is 214002232231. The reversal of 214002232200 is 2232200412.

214002232200 is a `hidden beast` number, since 21 + 400 + 2 + 23 + 220 + 0 = 666.

214002232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×214002232200⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 102539557 + ... + 102541643.

It is an arithmetic number, because the mean of its divisors is an integer number (2035291050).

Almost surely, 2^214002232200 is an apocalyptic number.

214002232200 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 214002232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390775881600).

214002232200 is an abundant number, since it is smaller than the sum of its proper divisors (567549531000).

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

214002232200 is a wasteful number, since it uses less digits than its factorization.

214002232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 214002232200 its reverse (2232200412), we get a palindrome (216234432612).

The spelling of 214002232200 in words is "two hundred fourteen billion, two million, two hundred thirty-two thousand, two hundred".