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225153552181 is a prime number
BaseRepresentation
bin1101000110110000110…
…0101000111100110101
3210112011100010112022011
43101230030220330311
512142103302132211
6251233434004221
722160341421245
oct3215414507465
9715140115264
10225153552181
118753a346258
1237777576671
13183025c936c
14ac7c9d9b25
155ccb878921
hex346c328f35

225153552181 has 2 divisors, whose sum is σ = 225153552182. Its totient is φ = 225153552180.

The previous prime is 225153552109. The next prime is 225153552187. The reversal of 225153552181 is 181255351522.

It is a happy number.

225153552181 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., 186753622500 + 38399929681 = 432150^2 + 195959^2 .

It is a cyclic number.

It is not a de Polignac number, because 225153552181 - 29 = 225153551669 is a prime.

It is a super-2 number, since 2×2251535521812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225153552187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112576776090 + 112576776091.

It is an arithmetic number, because the mean of its divisors is an integer number (112576776091).

Almost surely, 2225153552181 is an apocalyptic number.

It is an amenable number.

225153552181 is a deficient number, since it is larger than the sum of its proper divisors (1).

225153552181 is an equidigital number, since it uses as much as digits as its factorization.

225153552181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120000, while the sum is 40.

The spelling of 225153552181 in words is "two hundred twenty-five billion, one hundred fifty-three million, five hundred fifty-two thousand, one hundred eighty-one".