2206142900 has 108 divisors (see below), whose sum is σ = 5352407424. Its totient is φ = 788112000.

The previous prime is 2206142893. The next prime is 2206142903. The reversal of 2206142900 is 92416022.

2206142900 is digitally balanced in base 2, 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2206142900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206142903) 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, 521795 + ... + 526005.

It is an arithmetic number, because the mean of its divisors is an integer number (49559328).

Almost surely, 2^2206142900 is an apocalyptic number.

2206142900 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 2206142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676203712).

2206142900 is an abundant number, since it is smaller than the sum of its proper divisors (3146264524).

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

2206142900 is a wasteful number, since it uses less digits than its factorization.

2206142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2206142900 is about 46969.5954847388. The cubic root of 2206142900 is about 1301.8008375538.

Adding to 2206142900 its reverse (92416022), we get a palindrome (2298558922).

The spelling of 2206142900 in words is "two billion, two hundred six million, one hundred forty-two thousand, nine hundred".