222349881600 has 1728 divisors, whose sum is σ = 1077411041280. Its totient is φ = 43440537600.

The previous prime is 222349881581. The next prime is 222349881661. The reversal of 222349881600 is 6188943222.

222349881600 is a `hidden beast` number, since 2 + 2 + 2 + 34 + 9 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226194709 + ... + 226195691.

It is an arithmetic number, because the mean of its divisors is an integer number (623501760).

Almost surely, 2^222349881600 is an apocalyptic number.

222349881600 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 222349881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538705520640).

222349881600 is an abundant number, since it is smaller than the sum of its proper divisors (855061159680).

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

222349881600 is a wasteful number, since it uses less digits than its factorization.

222349881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 222349881600 in words is "two hundred twenty-two billion, three hundred forty-nine million, eight hundred eighty-one thousand, six hundred".