222001312 has 48 divisors (see below), whose sum is σ = 479613960. Its totient is φ = 100518912.

The previous prime is 222001291. The next prime is 222001319. The reversal of 222001312 is 213100222.

222001312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150700176 + 71301136 = 12276^2 + 8444^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 222001292 and 222001301.

It is not an unprimeable number, because it can be changed into a prime (222001319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17014 + ... + 27082.

Almost surely, 2^222001312 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 222001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239806980).

222001312 is an abundant number, since it is smaller than the sum of its proper divisors (257612648).

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

222001312 is a wasteful number, since it uses less digits than its factorization.

222001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 222001312 is about 14899.7084535235. The cubic root of 222001312 is about 605.5060874752.

Adding to 222001312 its reverse (213100222), we get a palindrome (435101534).

The spelling of 222001312 in words is "two hundred twenty-two million, one thousand, three hundred twelve".