222301010000 has 200 divisors, whose sum is σ = 573571179720. Its totient is φ = 83146752000.

The previous prime is 222301009991. The next prime is 222301010003. The reversal of 222301010000 is 10103222.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 221404127296 + 896882704 = 470536^2 + 29948^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222301010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26685836 + ... + 26694164.

Almost surely, 2^222301010000 is an apocalyptic number.

222301010000 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 222301010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286785589860).

222301010000 is an abundant number, since it is smaller than the sum of its proper divisors (351270169720).

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

222301010000 is a wasteful number, since it uses less digits than its factorization.

222301010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 222301010000 its reverse (10103222), we get a palindrome (222311113222).

The spelling of 222301010000 in words is "two hundred twenty-two billion, three hundred one million, ten thousand".