Search a number
-
+
225665757 = 342785997
BaseRepresentation
bin11010111001101…
…10001011011101
3120201122000020000
431130312023131
5430232301012
634220444513
75410061442
oct1534661335
9521560200
10225665757
11106423029
12636a9739
13379a2545
1421d839c9
1514c28ddc
hexd7362dd

225665757 has 10 divisors (see below), whose sum is σ = 337105758. Its totient is φ = 150443784.

The previous prime is 225665749. The next prime is 225665767. The reversal of 225665757 is 757566522.

225665757 is a `hidden beast` number, since 22 + 56 + 6 + 575 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212314041 + 13351716 = 14571^2 + 3654^2 .

It is not a de Polignac number, because 225665757 - 23 = 225665749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225665767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1392918 + ... + 1393079.

Almost surely, 2225665757 is an apocalyptic number.

225665757 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225665757 is a deficient number, since it is larger than the sum of its proper divisors (111440001).

225665757 is an equidigital number, since it uses as much as digits as its factorization.

225665757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786009 (or 2786000 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 225665757 is about 15022.1755082278. The cubic root of 225665757 is about 608.8195004886.

The spelling of 225665757 in words is "two hundred twenty-five million, six hundred sixty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 81 2785997 8357991 25073973 75221919 225665757