22200001000002 has 144 divisors (see below), whose sum is σ = 56212628976504. Its totient is φ = 6313458816000.

The previous prime is 22200000999977. The next prime is 22200001000007. The reversal of 22200001000002 is 20000010000222.

It can be written as a sum of positive squares in 4 ways, for example, as 20552631317001 + 1647369683001 = 4533501^2 + 1283499^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22200001000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455070852 + ... + 455119632.

Almost surely, 2^{22200001000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200001000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106314488252).

22200001000002 is an abundant number, since it is smaller than the sum of its proper divisors (34012627976502).

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

22200001000002 is a wasteful number, since it uses less digits than its factorization.

22200001000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51185 (or 51175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22200001000002 its reverse (20000010000222), we get a palindrome (42200011000224).

The spelling of 22200001000002 in words is "twenty-two trillion, two hundred billion, one million, two", and thus it is an aban number.