189224130001 has 9 divisors (see below), whose sum is σ = 197819427099. Its totient is φ = 180987423936.

The previous prime is 189224129981. The next prime is 189224130023. The reversal of 189224130001 is 100031422981.

The square root of 189224130001 is 434999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 183505140625 + 5718989376 = 428375^2 + 75624^2 .

It is not a de Polignac number, because 189224130001 - 2⁹ = 189224129489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189224130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9995521 + ... + 10014433.

Almost surely, 2^189224130001 is an apocalyptic number.

189224130001 is the 434999-th square number.

189224130001 is the 217500-th centered octagonal number.

It is an amenable number.

189224130001 is a deficient number, since it is larger than the sum of its proper divisors (8595297098).

189224130001 is an frugal number, since it uses more digits than its factorization.

189224130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37872 (or 18936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

Adding to 189224130001 its reverse (100031422981), we get a palindrome (289255552982).

It can be divided in two parts, 189224 and 130001, that added together give a square (319225 = 565²).

The spelling of 189224130001 in words is "one hundred eighty-nine billion, two hundred twenty-four million, one hundred thirty thousand, one".