221288193 has 96 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 116173440.

The previous prime is 221288189. The next prime is 221288219. The reversal of 221288193 is 391882122.

It is not a de Polignac number, because 221288193 - 2² = 221288189 is a prime.

It is a super-2 number, since 2×221288193² = 97936928722410498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221288113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1324996 + ... + 1325162.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^221288193 is an apocalyptic number.

It is an amenable number.

221288193 is a deficient number, since it is larger than the sum of its proper divisors (189653247).

221288193 is a wasteful number, since it uses less digits than its factorization.

221288193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 221288193 is about 14875.7585688932. The cubic root of 221288193 is about 604.8570506698.

The spelling of 221288193 in words is "two hundred twenty-one million, two hundred eighty-eight thousand, one hundred ninety-three".