222744672 has 144 divisors (see below), whose sum is σ = 666207360. Its totient is φ = 70502400.

The previous prime is 222744667. The next prime is 222744707. The reversal of 222744672 is 276447222.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544404 + ... + 544812.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2^222744672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333103680).

222744672 is an abundant number, since it is smaller than the sum of its proper divisors (443462688).

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

222744672 is a wasteful number, since it uses less digits than its factorization.

222744672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 222744672 is about 14924.6330608159. The cubic root of 222744672 is about 606.1811698950.

The spelling of 222744672 in words is "two hundred twenty-two million, seven hundred forty-four thousand, six hundred seventy-two".