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226582901 is a prime number
BaseRepresentation
bin11011000000101…
…10000101110101
3120210100121022022
431200112011311
5431001123101
634252242525
75420631356
oct1540260565
9523317268
10226582901
1110699a0a6
1263a70445
1337c33b2c
1422141d2d
1514d5aa1b
hexd816175

226582901 has 2 divisors, whose sum is σ = 226582902. Its totient is φ = 226582900.

The previous prime is 226582861. The next prime is 226582903. The reversal of 226582901 is 109285622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224970001 + 1612900 = 14999^2 + 1270^2 .

It is a cyclic number.

It is not a de Polignac number, because 226582901 - 214 = 226566517 is a prime.

It is a super-2 number, since 2×2265829012 = 102679622051151602, which contains 22 as substring.

Together with 226582903, 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 (226582903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113291450 + 113291451.

It is an arithmetic number, because the mean of its divisors is an integer number (113291451).

Almost surely, 2226582901 is an apocalyptic number.

It is an amenable number.

226582901 is a deficient number, since it is larger than the sum of its proper divisors (1).

226582901 is an equidigital number, since it uses as much as digits as its factorization.

226582901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 226582901 is about 15052.6708925692. The cubic root of 226582901 is about 609.6431676366.

The spelling of 226582901 in words is "two hundred twenty-six million, five hundred eighty-two thousand, nine hundred one".