Search a number
-
+
225637969901 is a prime number
BaseRepresentation
bin1101001000100100010…
…0100010111111101101
3210120102002122111111012
43102021010202333231
512144101310014101
6251353500435005
722205343045641
oct3221104427755
9716362574435
10225637969901
118776882a483
1237891848a65
131837ba86a76
14acc7096c21
155d09164bbb
hex3489122fed

225637969901 has 2 divisors, whose sum is σ = 225637969902. Its totient is φ = 225637969900.

The previous prime is 225637969867. The next prime is 225637969933. The reversal of 225637969901 is 109969736522.

225637969901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134751397225 + 90886572676 = 367085^2 + 301474^2 .

It is a cyclic number.

It is not a de Polignac number, because 225637969901 - 210 = 225637968877 is a prime.

It is a super-2 number, since 2×2256379699012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225637965901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112818984950 + 112818984951.

It is an arithmetic number, because the mean of its divisors is an integer number (112818984951).

Almost surely, 2225637969901 is an apocalyptic number.

It is an amenable number.

225637969901 is a deficient number, since it is larger than the sum of its proper divisors (1).

225637969901 is an equidigital number, since it uses as much as digits as its factorization.

225637969901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11022480, while the sum is 59.

The spelling of 225637969901 in words is "two hundred twenty-five billion, six hundred thirty-seven million, nine hundred sixty-nine thousand, nine hundred one".