Search a number
-
+
226101149 is a prime number
BaseRepresentation
bin11010111101000…
…00011110011101
3120202110010110122
431132200132131
5430340214044
634234044325
75413554011
oct1536403635
9522403418
10226101149
111066a015a
12638796a5
1337ac5781
1422058541
1514cb2dee
hexd7a079d

226101149 has 2 divisors, whose sum is σ = 226101150. Its totient is φ = 226101148.

The previous prime is 226101131. The next prime is 226101151. The reversal of 226101149 is 941101622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219573124 + 6528025 = 14818^2 + 2555^2 .

It is a cyclic number.

It is not a de Polignac number, because 226101149 - 220 = 225052573 is a prime.

It is a super-2 number, since 2×2261011492 = 102243459158240402, which contains 22 as substring.

Together with 226101151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226101119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113050574 + 113050575.

It is an arithmetic number, because the mean of its divisors is an integer number (113050575).

Almost surely, 2226101149 is an apocalyptic number.

It is an amenable number.

226101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

226101149 is an equidigital number, since it uses as much as digits as its factorization.

226101149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 226101149 is about 15036.6601677367. The cubic root of 226101149 is about 609.2107943062.

The spelling of 226101149 in words is "two hundred twenty-six million, one hundred one thousand, one hundred forty-nine".