22001788900 has 243 divisors, whose sum is σ = 60510867291. Its totient is φ = 6920484480.

The previous prime is 22001788867. The next prime is 22001788927. The reversal of 22001788900 is 988710022.

The square root of 22001788900 is 148330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5670993636 + 16330795264 = 75306^2 + 127792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22001788900.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 134980219 + ... + 134980381.

Almost surely, 2^22001788900 is an apocalyptic number.

22001788900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22001788900 is the 148330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001788900

22001788900 is an abundant number, since it is smaller than the sum of its proper divisors (38509078391).

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

22001788900 is a wasteful number, since it uses less digits than its factorization.

22001788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

It can be divided in two parts, 22001 and 788900, that added together give a triangular number (810901 = T₁₂₇₃).

The spelling of 22001788900 in words is "twenty-two billion, one million, seven hundred eighty-eight thousand, nine hundred".