22150915200 has 216 divisors, whose sum is σ = 79129769355. Its totient is φ = 5900175360.

The previous prime is 22150915147. The next prime is 22150915201. The reversal of 22150915200 is 251905122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22150915200 is a `hidden beast` number, since 2 + 2 + 1 + 50 + 91 + 520 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 16100564544 + 6050350656 = 126888^2 + 77784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105240.

It is not an unprimeable number, because it can be changed into a prime (22150915201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25257162 + ... + 25258038.

Almost surely, 2^22150915200 is an apocalyptic number.

22150915200 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 22150915200

22150915200 is an abundant number, since it is smaller than the sum of its proper divisors (56978854155).

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

22150915200 is an frugal number, since it uses more digits than its factorization.

22150915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Multiplying 22150915200 by its product of nonzero digits (1800), we get a square (39871647360000 = 6314400²).

22150915200 divided by its product of nonzero digits (1800) gives a square (12306064 = 3508²).

The spelling of 22150915200 in words is "twenty-two billion, one hundred fifty million, nine hundred fifteen thousand, two hundred".