222105379200 has 192 divisors, whose sum is σ = 770063361600. Its totient is φ = 56110786560.

The previous prime is 222105379183. The next prime is 222105379213. The reversal of 222105379200 is 2973501222.

It is a tau number, because it is divible by the number of its divisors (192).

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, 426442 + ... + 791241.

It is an arithmetic number, because the mean of its divisors is an integer number (4010746675).

Almost surely, 2^222105379200 is an apocalyptic number.

222105379200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222105379200 is an abundant number, since it is smaller than the sum of its proper divisors (547957982400).

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

222105379200 is a wasteful number, since it uses less digits than its factorization.

222105379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217729 (or 1217712 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 222105379200 in words is "two hundred twenty-two billion, one hundred five million, three hundred seventy-nine thousand, two hundred".