Search a number
-
+
226302997601 is a prime number
BaseRepresentation
bin1101001011000010110…
…1011011010001100001
3210122010110000101222202
43102300231123101201
512201432031410401
6251543454342545
722230666512132
oct3226055332141
9718113011882
10226302997601
1187a7a16264a
1237a384baa55
131845679cb95
14ad4b529c89
155d4772a06b
hex34b0b5b461

226302997601 has 2 divisors, whose sum is σ = 226302997602. Its totient is φ = 226302997600.

The previous prime is 226302997597. The next prime is 226302997603. The reversal of 226302997601 is 106799203622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127769787601 + 98533210000 = 357449^2 + 313900^2 .

It is a cyclic number.

It is not a de Polignac number, because 226302997601 - 22 = 226302997597 is a prime.

It is a Sophie Germain prime.

Together with 226302997603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (226302997603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113151498800 + 113151498801.

It is an arithmetic number, because the mean of its divisors is an integer number (113151498801).

Almost surely, 2226302997601 is an apocalyptic number.

It is an amenable number.

226302997601 is a deficient number, since it is larger than the sum of its proper divisors (1).

226302997601 is an equidigital number, since it uses as much as digits as its factorization.

226302997601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 226302997601 in words is "two hundred twenty-six billion, three hundred two million, nine hundred ninety-seven thousand, six hundred one".