222406560000 has 675 divisors, whose sum is σ = 835079160223. Its totient is φ = 58855680000.

The previous prime is 222406559989. The next prime is 222406560029. The reversal of 222406560000 is 65604222.

The square root of 222406560000 is 471600.

It is a perfect power (a square), and thus also a powerful number.

222406560000 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 0 + 656 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17436674304 + 204969885696 = 132048^2 + 452736^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1697759935 + ... + 1697760065.

Almost surely, 2^222406560000 is an apocalyptic number.

222406560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222406560000 is the 471600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222406560000

222406560000 is an abundant number, since it is smaller than the sum of its proper divisors (612672600223).

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

222406560000 is an frugal number, since it uses more digits than its factorization.

222406560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 222406560000 in words is "two hundred twenty-two billion, four hundred six million, five hundred sixty thousand".