2230010000 has 100 divisors (see below), whose sum is σ = 5425685100. Its totient is φ = 887616000.

The previous prime is 2230009997. The next prime is 2230010021. The reversal of 2230010000 is 100322.

It can be written as a sum of positive squares in 10 ways, for example, as 2063703184 + 166306816 = 45428^2 + 12896^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2230010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2689586 + ... + 2690414.

It is an arithmetic number, because the mean of its divisors is an integer number (54256851).

Almost surely, 2^2230010000 is an apocalyptic number.

2230010000 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 2230010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712842550).

2230010000 is an abundant number, since it is smaller than the sum of its proper divisors (3195675100).

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

2230010000 is an equidigital number, since it uses as much as digits as its factorization.

2230010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2230010000 is about 47222.9816932392. The cubic root of 2230010000 is about 1306.4785090493.

Adding to 2230010000 its reverse (100322), we get a palindrome (2230110322).

The spelling of 2230010000 in words is "two billion, two hundred thirty million, ten thousand".