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225101761 is a prime number
BaseRepresentation
bin11010110101011…
…00011111000001
3120200120100120021
431122230133001
5430111224021
634200413441
75402222233
oct1532543701
9520510507
10225101761
11106078315
1263477281
1337835911
1421c78253
1514b66c41
hexd6ac7c1

225101761 has 2 divisors, whose sum is σ = 225101762. Its totient is φ = 225101760.

The previous prime is 225101749. The next prime is 225101771. The reversal of 225101761 is 167101522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225000000 + 101761 = 15000^2 + 319^2 .

It is a cyclic number.

It is not a de Polignac number, because 225101761 - 25 = 225101729 is a prime.

It is a super-2 number, since 2×2251017612 = 101341605610602242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225101771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112550880 + 112550881.

It is an arithmetic number, because the mean of its divisors is an integer number (112550881).

Almost surely, 2225101761 is an apocalyptic number.

It is an amenable number.

225101761 is a deficient number, since it is larger than the sum of its proper divisors (1).

225101761 is an equidigital number, since it uses as much as digits as its factorization.

225101761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 225101761 is about 15003.3916498904. The cubic root of 225101761 is about 608.3118792125.

It can be divided in two parts, 225 and 101761, that multiplied together give a square (22896225 = 47852).

The spelling of 225101761 in words is "two hundred twenty-five million, one hundred one thousand, seven hundred sixty-one".