222100144 has 120 divisors (see below), whose sum is σ = 531796320. Its totient is φ = 89413632.

The previous prime is 222100129. The next prime is 222100169. The reversal of 222100144 is 441001222.

222100144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1965432 + ... + 1965544.

It is an arithmetic number, because the mean of its divisors is an integer number (4431636).

Almost surely, 2^222100144 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 222100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

222100144 is an abundant number, since it is smaller than the sum of its proper divisors (309696176).

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

222100144 is a wasteful number, since it uses less digits than its factorization.

222100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 222100144 is about 14903.0246594441. The cubic root of 222100144 is about 605.5959285349.

Adding to 222100144 its reverse (441001222), we get a palindrome (663101366).

The spelling of 222100144 in words is "two hundred twenty-two million, one hundred thousand, one hundred forty-four".