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225501977 is a prime number
BaseRepresentation
bin11010111000011…
…10001100011001
3120201022200120002
431130032030121
5430212030402
634213142345
75405510111
oct1534161431
9521280502
10225501977
11106320a78
126362a9b5
1337945b2c
1421d40041
1514be5602
hexd70e319

225501977 has 2 divisors, whose sum is σ = 225501978. Its totient is φ = 225501976.

The previous prime is 225501943. The next prime is 225501979. The reversal of 225501977 is 779105522.

225501977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221295376 + 4206601 = 14876^2 + 2051^2 .

It is a cyclic number.

It is not a de Polignac number, because 225501977 - 28 = 225501721 is a prime.

It is a super-2 number, since 2×2255019772 = 101702283261817058, which contains 22 as substring.

Together with 225501979, 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 225501977.

It is not a weakly prime, because it can be changed into another prime (225501979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112750988 + 112750989.

It is an arithmetic number, because the mean of its divisors is an integer number (112750989).

Almost surely, 2225501977 is an apocalyptic number.

It is an amenable number.

225501977 is a deficient number, since it is larger than the sum of its proper divisors (1).

225501977 is an equidigital number, since it uses as much as digits as its factorization.

225501977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 225501977 is about 15016.7232444365. The cubic root of 225501977 is about 608.6721784913.

The spelling of 225501977 in words is "two hundred twenty-five million, five hundred one thousand, nine hundred seventy-seven".