Search a number
-
+
226175111761 is a prime number
BaseRepresentation
bin1101001010100100010…
…1100101001001010001
3210121210112101010121011
43102221011211021101
512201201312034021
6251523045330521
722224554505124
oct3225105451121
9717715333534
10226175111761
1187a13a55075
1237a01706a41
13184361447a1
14ad3855a3bb
155d3b3b7de1
hex34a9165251

226175111761 has 2 divisors, whose sum is σ = 226175111762. Its totient is φ = 226175111760.

The previous prime is 226175111741. The next prime is 226175111837. The reversal of 226175111761 is 167111571622.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145737643536 + 80437468225 = 381756^2 + 283615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226175111761 is a prime.

It is a super-2 number, since 2×2261751117612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226175111741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113087555880 + 113087555881.

It is an arithmetic number, because the mean of its divisors is an integer number (113087555881).

Almost surely, 2226175111761 is an apocalyptic number.

It is an amenable number.

226175111761 is a deficient number, since it is larger than the sum of its proper divisors (1).

226175111761 is an equidigital number, since it uses as much as digits as its factorization.

226175111761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 35280, while the sum is 40.

The spelling of 226175111761 in words is "two hundred twenty-six billion, one hundred seventy-five million, one hundred eleven thousand, seven hundred sixty-one".