Search a number
-
+
225322006201 is a prime number
BaseRepresentation
bin1101000111011000111…
…1001111011010111001
3210112121002002212202221
43101312033033122321
512142424413144301
6251302252324041
722164455310655
oct3216617173271
9715532085687
10225322006201
1187616442256
1237803a73621
131832b489ab6
14ac97129a65
155cdb550da1
hex34763cf6b9

225322006201 has 2 divisors, whose sum is σ = 225322006202. Its totient is φ = 225322006200.

The previous prime is 225322006181. The next prime is 225322006207. The reversal of 225322006201 is 102600223522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219188766976 + 6133239225 = 468176^2 + 78315^2 .

It is a cyclic number.

It is not a de Polignac number, because 225322006201 - 215 = 225321973433 is a prime.

It is not a weakly prime, because it can be changed into another prime (225322006207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112661003100 + 112661003101.

It is an arithmetic number, because the mean of its divisors is an integer number (112661003101).

Almost surely, 2225322006201 is an apocalyptic number.

It is an amenable number.

225322006201 is a deficient number, since it is larger than the sum of its proper divisors (1).

225322006201 is an equidigital number, since it uses as much as digits as its factorization.

225322006201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 225322006201 its reverse (102600223522), we get a palindrome (327922229723).

The spelling of 225322006201 in words is "two hundred twenty-five billion, three hundred twenty-two million, six thousand, two hundred one".