222134398200 has 576 divisors, whose sum is σ = 891336700800. Its totient is φ = 48862540800.

The previous prime is 222134398169. The next prime is 222134398301. The reversal of 222134398200 is 2893431222.

222134398200 is a `hidden beast` number, since 2 + 2 + 2 + 13 + 439 + 8 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15179287 + ... + 15193913.

It is an arithmetic number, because the mean of its divisors is an integer number (1547459550).

Almost surely, 2^222134398200 is an apocalyptic number.

222134398200 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 222134398200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445668350400).

222134398200 is an abundant number, since it is smaller than the sum of its proper divisors (669202302600).

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

222134398200 is a wasteful number, since it uses less digits than its factorization.

222134398200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732 (or 14720 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 222134398200 in words is "two hundred twenty-two billion, one hundred thirty-four million, three hundred ninety-eight thousand, two hundred".