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226531937 is a prime number
BaseRepresentation
bin11011000000010…
…01101001100001
3120210021000101202
431200021221201
5430443010222
634251210545
75420326652
oct1540115141
9523230352
10226531937
11106964885
1263a46a55
1337c16888
142212b529
1514d4a892
hexd809a61

226531937 has 2 divisors, whose sum is σ = 226531938. Its totient is φ = 226531936.

The previous prime is 226531913. The next prime is 226531939. The reversal of 226531937 is 739135622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226472401 + 59536 = 15049^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 226531937 - 26 = 226531873 is a prime.

It is a super-3 number, since 3×2265319373 (a number of 26 digits) contains 333 as substring.

Together with 226531939, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226531937.

It is not a weakly prime, because it can be changed into another prime (226531939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113265968 + 113265969.

It is an arithmetic number, because the mean of its divisors is an integer number (113265969).

Almost surely, 2226531937 is an apocalyptic number.

It is an amenable number.

226531937 is a deficient number, since it is larger than the sum of its proper divisors (1).

226531937 is an equidigital number, since it uses as much as digits as its factorization.

226531937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 38.

The square root of 226531937 is about 15050.9779416488. The cubic root of 226531937 is about 609.5974563554.

The spelling of 226531937 in words is "two hundred twenty-six million, five hundred thirty-one thousand, nine hundred thirty-seven".