22325952000 has 720 divisors, whose sum is σ = 84306510288. Its totient is φ = 5237760000.

The previous prime is 22325951983. The next prime is 22325952001. The reversal of 22325952000 is 25952322.

It is a super-3 number, since 3×22325952000³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22325952001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 720191985 + ... + 720192015.

Almost surely, 2^22325952000 is an apocalyptic number.

22325952000 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 22325952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153255144).

22325952000 is an abundant number, since it is smaller than the sum of its proper divisors (61980558288).

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

22325952000 is an equidigital number, since it uses as much as digits as its factorization.

22325952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Multiplying 22325952000 by its sum of digits (30), we get a square (669778560000 = 818400²).

22325952000 divided by its sum of digits (30) gives a square (744198400 = 27280²).

The spelling of 22325952000 in words is "twenty-two billion, three hundred twenty-five million, nine hundred fifty-two thousand".