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225138181 is a prime number
BaseRepresentation
bin11010110101101…
…01011000000101
3120200122012112011
431122311120011
5430113410211
634201254221
75402433352
oct1532653005
9520565464
10225138181
111060a2714
1263494371
1337849378
1421c87629
1514b72921
hexd6b5605

225138181 has 2 divisors, whose sum is σ = 225138182. Its totient is φ = 225138180.

The previous prime is 225138127. The next prime is 225138209. The reversal of 225138181 is 181831522.

225138181 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., 175562500 + 49575681 = 13250^2 + 7041^2 .

It is a cyclic number.

It is not a de Polignac number, because 225138181 - 211 = 225136133 is a prime.

It is a super-2 number, since 2×2251381812 = 101374401087977522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225138481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112569090 + 112569091.

It is an arithmetic number, because the mean of its divisors is an integer number (112569091).

Almost surely, 2225138181 is an apocalyptic number.

It is an amenable number.

225138181 is a deficient number, since it is larger than the sum of its proper divisors (1).

225138181 is an equidigital number, since it uses as much as digits as its factorization.

225138181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3840, while the sum is 31.

The square root of 225138181 is about 15004.6053263656. The cubic root of 225138181 is about 608.3446844111.

The spelling of 225138181 in words is "two hundred twenty-five million, one hundred thirty-eight thousand, one hundred eighty-one".