221065952450 has 270 divisors, whose sum is σ = 510090359289. Its totient is φ = 71269857120.

The previous prime is 221065952447. The next prime is 221065952461. The reversal of 221065952450 is 54259560122.

It can be written as a sum of positive squares in 2 ways, for example, as 216644633401 + 4421319049 = 465451^2 + 66493^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332465.

It is a super-2 number, since 2×221065952450² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221065952398 and 221065952407.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3746880521 + ... + 3746880579.

Almost surely, 2^221065952450 is an apocalyptic number.

221065952450 is an abundant number, since it is smaller than the sum of its proper divisors (289024406839).

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

221065952450 is an frugal number, since it uses more digits than its factorization.

221065952450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 221065952450 in words is "two hundred twenty-one billion, sixty-five million, nine hundred fifty-two thousand, four hundred fifty".