Search a number
-
+
225074400401 is a prime number
BaseRepresentation
bin1101000110011101111…
…0101100110010010001
3210111221211012012110202
43101213132230302101
512141423021303101
6251221525304545
722155360560114
oct3214736546221
9714854165422
10225074400401
11874a96a4364
1237754b65155
13182bc0a50a6
14ac722b457b
155cc494136b
hex34677acc91

225074400401 has 2 divisors, whose sum is σ = 225074400402. Its totient is φ = 225074400400.

The previous prime is 225074400377. The next prime is 225074400413. The reversal of 225074400401 is 104004470522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155377872400 + 69696528001 = 394180^2 + 264001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225074400401 is a prime.

It is not a weakly prime, because it can be changed into another prime (225074400451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112537200200 + 112537200201.

It is an arithmetic number, because the mean of its divisors is an integer number (112537200201).

Almost surely, 2225074400401 is an apocalyptic number.

It is an amenable number.

225074400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

225074400401 is an equidigital number, since it uses as much as digits as its factorization.

225074400401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 29.

Adding to 225074400401 its reverse (104004470522), we get a palindrome (329078870923).

The spelling of 225074400401 in words is "two hundred twenty-five billion, seventy-four million, four hundred thousand, four hundred one".