221300001 has 24 divisors (see below), whose sum is σ = 352648296. Its totient is φ = 132860160.

The previous prime is 221299993. The next prime is 221300021. The reversal of 221300001 is 100003122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 220968225 = 576^2 + 14865^2 .

It is not a de Polignac number, because 221300001 - 2³ = 221299993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (221300021) 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 23 ways as a sum of consecutive naturals, for example, 18270 + ... + 27863.

It is an arithmetic number, because the mean of its divisors is an integer number (14693679).

Almost surely, 2^221300001 is an apocalyptic number.

It is an amenable number.

221300001 is a deficient number, since it is larger than the sum of its proper divisors (131348295).

221300001 is a wasteful number, since it uses less digits than its factorization.

221300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46193 (or 46190 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 221300001 is about 14876.1554509221. The cubic root of 221300001 is about 604.8678089257.

Adding to 221300001 its reverse (100003122), we get a palindrome (321303123).

The spelling of 221300001 in words is "two hundred twenty-one million, three hundred thousand, one".