222672000 has 128 divisors (see below), whose sum is σ = 738316800. Its totient is φ = 59366400.

The previous prime is 222671989. The next prime is 222672011. The reversal of 222672000 is 276222.

It is an interprime number because it is at equal distance from previous prime (222671989) and next prime (222672011).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45681 + ... + 50319.

It is an arithmetic number, because the mean of its divisors is an integer number (5768100).

Almost surely, 2^222672000 is an apocalyptic number.

222672000 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 222672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369158400).

222672000 is an abundant number, since it is smaller than the sum of its proper divisors (515644800).

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

222672000 is an equidigital number, since it uses as much as digits as its factorization.

222672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 222672000 is about 14922.1982294835. The cubic root of 222672000 is about 606.1152391154.

The spelling of 222672000 in words is "two hundred twenty-two million, six hundred seventy-two thousand".