202400224001 has 8 divisors (see below), whose sum is σ = 211300458600. Its totient is φ = 193628050560.

The previous prime is 202400223983. The next prime is 202400224007. The reversal of 202400224001 is 100422004202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48202641601 + 154197582400 = 219551^2 + 392680^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 202400224001 - 2¹⁴ = 202400207617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202400224007) 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, 32012060 + ... + 32018381.

It is an arithmetic number, because the mean of its divisors is an integer number (26412557325).

Almost surely, 2^202400224001 is an apocalyptic number.

It is an amenable number.

202400224001 is a deficient number, since it is larger than the sum of its proper divisors (8900234599).

202400224001 is a wasteful number, since it uses less digits than its factorization.

202400224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64030579.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 202400224001 its reverse (100422004202), we get a palindrome (302822228203).

The spelling of 202400224001 in words is "two hundred two billion, four hundred million, two hundred twenty-four thousand, one".