2144222100 has 108 divisors (see below), whose sum is σ = 6884989020. Its totient is φ = 557836800.

The previous prime is 2144222099. The next prime is 2144222107. The reversal of 2144222100 is 12224412.

2144222100 is a `hidden beast` number, since 2 + 1 + 442 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 685287684 + 1458934416 = 26178^2 + 38196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144222107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7846 + ... + 65954.

Almost surely, 2^2144222100 is an apocalyptic number.

2144222100 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 2144222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442494510).

2144222100 is an abundant number, since it is smaller than the sum of its proper divisors (4740766920).

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

2144222100 is a wasteful number, since it uses less digits than its factorization.

2144222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58170 (or 58160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2144222100 is about 46305.7458637694. The cubic root of 2144222100 is about 1289.5056696188.

Adding to 2144222100 its reverse (12224412), we get a palindrome (2156446512).

The spelling of 2144222100 in words is "two billion, one hundred forty-four million, two hundred twenty-two thousand, one hundred".