22245225600 has 192 divisors, whose sum is σ = 78906824640. Its totient is φ = 5475717120.

The previous prime is 22245225599. The next prime is 22245225601. The reversal of 22245225600 is 652254222.

It is an interprime number because it is at equal distance from previous prime (22245225599) and next prime (22245225601).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22245225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35677 + ... + 213923.

It is an arithmetic number, because the mean of its divisors is an integer number (410973045).

Almost surely, 2^22245225600 is an apocalyptic number.

22245225600 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 22245225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39453412320).

22245225600 is an abundant number, since it is smaller than the sum of its proper divisors (56661599040).

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

22245225600 is a wasteful number, since it uses less digits than its factorization.

22245225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178287 (or 178270 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22245225600 its reverse (652254222), we get a palindrome (22897479822).

The spelling of 22245225600 in words is "twenty-two billion, two hundred forty-five million, two hundred twenty-five thousand, six hundred".