22729252050 has 270 divisors, whose sum is σ = 66666024117. Its totient is φ = 5741318880.

The previous prime is 22729252043. The next prime is 22729252069. The reversal of 22729252050 is 5025292722.

It can be written as a sum of positive squares in 2 ways, for example, as 22274667009 + 454585041 = 149247^2 + 21321^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106605.

It is a junction number, because it is equal to n+sod(n) for n = 22729251996 and 22729252014.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 220672299 + ... + 220672401.

Almost surely, 2^22729252050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22729252050

22729252050 is an abundant number, since it is smaller than the sum of its proper divisors (43936772067).

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

22729252050 is a wasteful number, since it uses less digits than its factorization.

22729252050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 22729252050 in words is "twenty-two billion, seven hundred twenty-nine million, two hundred fifty-two thousand, fifty".