22210414002 has 160 divisors (see below), whose sum is σ = 62475494400. Its totient is φ = 5750328672.

The previous prime is 22210413949. The next prime is 22210414003. The reversal of 22210414002 is 20041401222.

22210414002 is a `hidden beast` number, since 2 + 221 + 0 + 41 + 400 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22210414003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473149 + ... + 517967.

It is an arithmetic number, because the mean of its divisors is an integer number (390471840).

Almost surely, 2^22210414002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31237747200).

22210414002 is an abundant number, since it is smaller than the sum of its proper divisors (40265080398).

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

22210414002 is a wasteful number, since it uses less digits than its factorization.

22210414002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44882 (or 44873 counting only the distinct ones).

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

Adding to 22210414002 its reverse (20041401222), we get a palindrome (42251815224).

The spelling of 22210414002 in words is "twenty-two billion, two hundred ten million, four hundred fourteen thousand, two".