4102222014 has 96 divisors (see below), whose sum is σ = 9807557760. Its totient is φ = 1228920000.

The previous prime is 4102222013. The next prime is 4102222027.

4102222014 is a `hidden beast` number, since 410 + 22 + 220 + 14 = 666.

4102222014 is nontrivially palindromic in base 10.

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 (4102222013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9790297 + ... + 9790715.

It is an arithmetic number, because the mean of its divisors is an integer number (102162060).

Almost surely, 2^4102222014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102222014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

4102222014 is an abundant number, since it is smaller than the sum of its proper divisors (5705335746).

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

4102222014 is a wasteful number, since it uses less digits than its factorization.

4102222014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

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

The square root of 4102222014 is about 64048.5910383671. The cubic root of 4102222014 is about 1600.8097481962.

It can be divided in two parts, 41022 and 22014, that added together give a palindrome (63036).

The spelling of 4102222014 in words is "four billion, one hundred two million, two hundred twenty-two thousand, fourteen".