22233254400 has 720 divisors, whose sum is σ = 92348256000. Its totient is φ = 5003182080.

The previous prime is 22233254389. The next prime is 22233254413. The reversal of 22233254400 is 445233222.

It is a happy number.

22233254400 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 3 + 254 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63705426 + ... + 63705774.

Almost surely, 2^22233254400 is an apocalyptic number.

22233254400 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 22233254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46174128000).

22233254400 is an abundant number, since it is smaller than the sum of its proper divisors (70115001600).

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

22233254400 is a wasteful number, since it uses less digits than its factorization.

22233254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22233254400 its reverse (445233222), we get a palindrome (22678487622).

The spelling of 22233254400 in words is "twenty-two billion, two hundred thirty-three million, two hundred fifty-four thousand, four hundred".