205150222233 has 80 divisors (see below), whose sum is σ = 337217126400. Its totient is φ = 123260058720.

The previous prime is 205150222213. The next prime is 205150222259. The reversal of 205150222233 is 332222051502.

205150222233 is a `hidden beast` number, since 205 + 1 + 5 + 0 + 222 + 233 = 666.

It is not a de Polignac number, because 205150222233 - 2⁶ = 205150222169 is a prime.

It is a super-2 number, since 2×205150222233² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205150222197 and 205150222206.

It is not an unprimeable number, because it can be changed into a prime (205150222213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57254760 + ... + 57258342.

It is an arithmetic number, because the mean of its divisors is an integer number (4215214080).

Almost surely, 2^205150222233 is an apocalyptic number.

It is an amenable number.

205150222233 is a deficient number, since it is larger than the sum of its proper divisors (132066904167).

205150222233 is a wasteful number, since it uses less digits than its factorization.

205150222233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 205150222233 its reverse (332222051502), we get a palindrome (537372273735).

The spelling of 205150222233 in words is "two hundred five billion, one hundred fifty million, two hundred twenty-two thousand, two hundred thirty-three".