Search a number
-
+
225723463331 is a prime number
BaseRepresentation
bin1101001000111000101…
…0101011011010100011
3210120122001112000102112
43102032022223122203
512144240201311311
6251410153105535
722210431531632
oct3221612533243
9716561460375
10225723463331
1187802012a03
12378b63b82ab
13183936bb6b2
14acd458d519
155d1190128b
hex348e2ab6a3

225723463331 has 2 divisors, whose sum is σ = 225723463332. Its totient is φ = 225723463330.

The previous prime is 225723463319. The next prime is 225723463337. The reversal of 225723463331 is 133364327522.

225723463331 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225723463331 is a prime.

It is a super-2 number, since 2×2257234633312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225723463337) 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, 112861731665 + 112861731666.

It is an arithmetic number, because the mean of its divisors is an integer number (112861731666).

Almost surely, 2225723463331 is an apocalyptic number.

225723463331 is a deficient number, since it is larger than the sum of its proper divisors (1).

225723463331 is an equidigital number, since it uses as much as digits as its factorization.

225723463331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 41.

The spelling of 225723463331 in words is "two hundred twenty-five billion, seven hundred twenty-three million, four hundred sixty-three thousand, three hundred thirty-one".