432224101 has 8 divisors (see below), whose sum is σ = 441147608. Its totient is φ = 423360000.

The previous prime is 432224083. The next prime is 432224113. The reversal of 432224101 is 101422234.

It is a Cunningham number, because it is equal to 20790²+1.

432224101 is a nontrivial binomial coefficient, being equal to C(29402, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 432224100 = 1^2 + 20790^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(432224101) divides (432224101-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 432224101 - 2⁵ = 432224069 is a prime.

It is a deceptive number, since it divides R_432224100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432224161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 29401.

It is an arithmetic number, because the mean of its divisors is an integer number (55143451).

Almost surely, 2^432224101 is an apocalyptic number.

432224101 is the 29401-st triangular number and also the 14701-st hexagonal number.

432224101 is the 9801-st centered nonagonal number.

It is an amenable number.

432224101 is a deficient number, since it is larger than the sum of its proper divisors (8923507).

432224101 is a wasteful number, since it uses less digits than its factorization.

432224101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29703.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 432224101 is about 20790.0000240500. Note that the first 4 decimals coincide. The cubic root of 432224101 is about 756.0833247323.

Adding to 432224101 its reverse (101422234), we get a palindrome (533646335).

The spelling of 432224101 in words is "four hundred thirty-two million, two hundred twenty-four thousand, one hundred one".