22250250304000 has 160 divisors (see below), whose sum is σ = 55515127496400. Its totient is φ = 8894848614400.

The previous prime is 22250250303991. The next prime is 22250250304001. The reversal of 22250250304000 is 40305205222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2330238886144 + 19920011417856 = 1526512^2 + 4463184^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22250250304001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109274286 + ... + 109477714.

Almost surely, 2^{22250250304000} is an apocalyptic number.

22250250304000 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 22250250304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757563748200).

22250250304000 is an abundant number, since it is smaller than the sum of its proper divisors (33264877192400).

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

22250250304000 is an equidigital number, since it uses as much as digits as its factorization.

22250250304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205171 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22250250304000 its reverse (40305205222), we get a palindrome (22290555509222).

The spelling of 22250250304000 in words is "twenty-two trillion, two hundred fifty billion, two hundred fifty million, three hundred four thousand".