22225507200 has 1152 divisors, whose sum is σ = 93228408000. Its totient is φ = 4995809280.

The previous prime is 22225507189. The next prime is 22225507201. The reversal of 22225507200 is 270552222.

22225507200 is a `hidden beast` number, since 22 + 22 + 550 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22225507201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249724756 + ... + 249724844.

Almost surely, 2^22225507200 is an apocalyptic number.

22225507200 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 22225507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46614204000).

22225507200 is an abundant number, since it is smaller than the sum of its proper divisors (71002900800).

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

22225507200 is a wasteful number, since it uses less digits than its factorization.

22225507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 22225507200 in words is "twenty-two billion, two hundred twenty-five million, five hundred seven thousand, two hundred".